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The document discusses systems of linear equations and methods for solving them. It defines a system of linear equations as a pair of linear equations in two variables. It presents two examples of systems of linear equations. It then describes algebraic methods for solving systems, including elimination by substitution, elimination by equating coefficients, and cross multiplication. It provides examples of using elimination by substitution and elimination by equating coefficients to solve systems of two equations with two unknowns.

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Maths ppt linear equations in two variables

AN EQUATION WHICH CAN BE WRITTEN IN THE FORM OF ax+by+c=0 WHERE a,b and c ARE REAL NUMBERS.
YOU WILL GET TO KNOW HOW TO REPRESENT THE EQUATIONS IN A GRAPH.

Linear equations in two variables

This presentation include various methods of solving linear equations like substitution, elimination and cross-multiplication method.

PPT on Linear Equations in two variables

This ppt on different methods of solving equations like substitution method, elimination method, and cross multiplication method.

Linear equations in two variables- By- Pragyan

This is a power point presentation on linear equations in two variables for class 10th. I have spent 3 hours on making this and all the equations you will see are written by me.

linear equation in 2 variables

1) A linear equation in two variables can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0.
2) The solution to a linear equation is the ordered pair that satisfies the equation when substituted into it.
3) Linear equations can be graphed on a Cartesian plane by plotting the solutions as points and connecting them.

Linear equation in two variables

This document discusses methods for solving systems of linear equations in two variables. It describes graphical and algebraic approaches. Graphically, the solutions exist where the lines representing the two equations intersect on a Cartesian plane. Algebraically, common methods include elimination by substitution, elimination by equating coefficients, and cross-multiplication. These algebraic techniques involve manipulating the equations to solve for one variable in terms of the other and combining the equations to find the solution values.

Linear equation in two variable

The document discusses methods for solving systems of linear equations in two variables:
1) Graphical method involves plotting the lines defined by each equation on a graph and finding their point of intersection.
2) Algebraic methods include substitution, elimination by equating coefficients, and cross-multiplication. Elimination involves manipulating the equations to eliminate one variable and solve for the other.
3) Examples demonstrate solving a system using substitution and elimination to find the solution values for x and y.

Linear equations Class 10 by aryan kathuria

This document discusses linear equations and methods to solve systems of linear equations. It defines a linear equation as an equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. Systems of linear equations can have unique solutions, infinite solutions, or no solutions depending on whether the lines intersect, are coincident, or are parallel. The document describes graphical and algebraic methods to solve systems, including elimination, substitution, and cross-multiplication methods. It provides examples of using each algebraic method to solve systems of two linear equations with two unknowns.

Maths ppt linear equations in two variables

AN EQUATION WHICH CAN BE WRITTEN IN THE FORM OF ax+by+c=0 WHERE a,b and c ARE REAL NUMBERS.
YOU WILL GET TO KNOW HOW TO REPRESENT THE EQUATIONS IN A GRAPH.

Linear equations in two variables

This presentation include various methods of solving linear equations like substitution, elimination and cross-multiplication method.

PPT on Linear Equations in two variables

This ppt on different methods of solving equations like substitution method, elimination method, and cross multiplication method.

Linear equations in two variables- By- Pragyan

This is a power point presentation on linear equations in two variables for class 10th. I have spent 3 hours on making this and all the equations you will see are written by me.

linear equation in 2 variables

1) A linear equation in two variables can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0.
2) The solution to a linear equation is the ordered pair that satisfies the equation when substituted into it.
3) Linear equations can be graphed on a Cartesian plane by plotting the solutions as points and connecting them.

Linear equation in two variables

This document discusses methods for solving systems of linear equations in two variables. It describes graphical and algebraic approaches. Graphically, the solutions exist where the lines representing the two equations intersect on a Cartesian plane. Algebraically, common methods include elimination by substitution, elimination by equating coefficients, and cross-multiplication. These algebraic techniques involve manipulating the equations to solve for one variable in terms of the other and combining the equations to find the solution values.

Linear equation in two variable

The document discusses methods for solving systems of linear equations in two variables:
1) Graphical method involves plotting the lines defined by each equation on a graph and finding their point of intersection.
2) Algebraic methods include substitution, elimination by equating coefficients, and cross-multiplication. Elimination involves manipulating the equations to eliminate one variable and solve for the other.
3) Examples demonstrate solving a system using substitution and elimination to find the solution values for x and y.

Linear equations Class 10 by aryan kathuria

This document discusses linear equations and methods to solve systems of linear equations. It defines a linear equation as an equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. Systems of linear equations can have unique solutions, infinite solutions, or no solutions depending on whether the lines intersect, are coincident, or are parallel. The document describes graphical and algebraic methods to solve systems, including elimination, substitution, and cross-multiplication methods. It provides examples of using each algebraic method to solve systems of two linear equations with two unknowns.

Linear equations in two variables

1) The document discusses finding solutions to linear equations in two variables by using tables and plotting points on a coordinate plane.
2) It provides an example of writing an equation to represent the number of two-point and three-point baskets scored in a basketball game.
3) The key strategy explained is to fix a value for one variable (x or y), then solve the equation for the other variable to obtain an ordered pair solution (x, y).

Pair of linear equations in two variables for classX

This document discusses methods for solving pairs of linear equations in two variables: substitution, elimination, and cross-multiplication. The substitution method involves solving one equation for one variable and substituting it into the other equation. The elimination method involves multiplying the equations by constants to make coefficients equal and then adding or subtracting the equations to eliminate one variable. The cross-multiplication method involves cross-multiplying the coefficients of the equations to derive an equation with one variable that can then be solved.

Linear Equation In Two Variable

This document provides an overview of linear equations in two variables. It begins by introducing the standard form of a linear equation: ax + by + c = 0. It then discusses two methods for solving a pair of linear equations: the graphical and algebraic methods. Examples are provided to demonstrate plotting points from a linear equation in standard form and determining if a given point lies on the line. The document also notes that equations of the form x = n or y = n represent lines parallel to the y-axis or x-axis, respectively.

CLASS X MATHS LINEAR EQUATIONS

This document discusses linear equations in two variables. It begins by presenting the general form of a linear equation as ax + by + c = 0, where a, b, and c are real numbers. It then explains that a linear equation can have infinitely many solutions (x,y value pairs) that satisfy the equation, and these solutions lie on a straight line. The document provides an example of a single linear equation and shows its graph on the Cartesian plane. It also discusses systems of two linear equations, explaining that their solutions occur where the lines intersect. The document covers various algebraic methods for solving systems of linear equations, including elimination by substitution or equating coefficients, and solving by cross multiplication. It provides examples to illustrate these solution

Maths project

The document discusses systems of linear equations in two variables. It defines such a system as a pair of equations where the variables have coefficients that are real numbers. A consistent system has at least one solution, while an inconsistent system has no solutions. Such systems can be solved graphically by plotting the lines defined by each equation, or algebraically using substitution, elimination, or cross-multiplication methods.

Pair of linear equation in two variables

it has all the discription about the easy chapter pair of linear equation in two variables. and if you like it so pleras

Pair of linear equation in two variables (sparsh singh)

The document discusses different methods for solving systems of linear equations:
1) The substitution method involves substituting one variable's expression into the other equation.
2) The elimination method multiples equations to make coefficients equal and subtracts to eliminate one variable.
3) The cross-multiplication method multiplies equations by constants to isolate coefficients and solve for variables.
Each method follows defined steps to systematically solve the system.

Pair Of Linear Equations In Two Variables

PowerPoint Presentation of Learning Outcomes, Experiential content, Explanation Content, Hot Spot, Curiosity Questions, Mind Map, Question Bank of
Pair Of Linear Equations In Two Variables Class X

Linear equations

The document discusses various methods for solving systems of simultaneous linear equations with two variables. It explains that a system contains two or more linear equations involving the same variables. Common methods covered include substitution, where one variable is solved for and substituted into the other equation, and elimination, where coefficients are multiplied and equations are combined to eliminate one variable. Examples are provided to demonstrate both methods step-by-step. It emphasizes that solutions found must satisfy both original equations.

Linear equation in two variable for class X(TEN) by G R Ahmed

The document discusses linear and nonlinear equations. It provides examples of each and their key characteristics:
1. Linear equations are in the standard form of ax + by + c = 0, have variables with degree 1, and graph as a straight line.
2. Nonlinear equations have variables with degrees greater than 1, contain radicals, or have variables multiplied or divided.
3. The document also discusses finding the x- and y-intercepts of linear equations by setting one variable to 0 and solving for the other.

pairs of linear equation in two variable

This document discusses two methods for graphically solving systems of linear equations:
1) Assign a value to one variable and determine the value of the other variable from the given equations, plotting the points and connecting them with a line.
2) Eliminate one variable to obtain a single-variable equation, solve for the eliminated variable, then substitute back into one of the original equations to solve for the other variable.
For example, a system is solved by setting x=3, solving for y, then substituting back to find x= -1. The solution is plotted as the point (-1,6).

Pair of linear equations in two variable

Order of presentation
Anushka - Opening
Nikunj -Intro
Shubham - Graphical
Amel - Sunstitution
Siddhartha- Elimination
Karthik - Cross multiplication
Anushka - Equations reducible...& wrap-up
In case of any confusion..inform me by facebook, phone or in school

Linear equation in 2 variables

This document provides information about linear equations in two variables. It defines a linear equation as one that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. It discusses using the rectangular coordinate system to graph linear equations by plotting the x- and y-intercepts. It also describes how to determine if an ordered pair is a solution to a linear equation by substituting the x- and y-values into the equation. Finally, it briefly outlines common methods for solving systems of linear equations, including elimination, substitution, and cross-multiplication.

Pairs of linear equation in two variable by asim rajiv shandilya 10th a

This document provides an overview of pairs of linear equations in two variables. It discusses representing such equations graphically as two lines with possible solutions of unique intersection, no intersection, or overlapping lines. Algebraic methods for solving pairs of linear equations are presented, including substitution, elimination of a variable by making coefficients equal, and cross multiplication. Examples are provided to illustrate each method. The document also describes how to reduce equations not initially in the standard form for a pair of linear equations to that form so the equations can be solved using the described algebraic techniques.

Pair of linear equation in two variable

This document discusses linear equations in two variables. It defines a linear equation as an equation between two variables that forms a straight line when graphed. It then defines a linear equation in two variables as an equation with two variables, usually x and y, where the variables are multiplied by a number or added to another term. The document goes on to explain that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. It describes algebraic and graphical methods for solving systems of linear equations, focusing on substitution, elimination, and cross-multiplication algebraic methods.

Linear equations rev - copy

A system of linear equations in two variables can be solved either graphically or algebraically. Graphically, the solutions are found by drawing the lines corresponding to each equation and finding their point(s) of intersection. Algebraically, the equations are combined to eliminate one variable, resulting in an equation that can be solved for the remaining variable. A system has a single solution if the lines intersect at one point, no solution if the lines are parallel, or infinite solutions if the lines coincide as the same line.

Linear Equation in two variables

This document defines and provides examples of linear equations. It explains that a linear equation has variables with exponents of 1 that are added or subtracted. The document shows examples of linear equations in standard Ax + By = C form and identifies the slope and y-intercept. It also provides examples of nonlinear equations that do not follow the standard linear form. The document describes how to find the x-intercept and y-intercept of a linear equation by setting one variable equal to 0 and solving for the other. Graphing linear equations in slope-intercept form is also summarized.

LINEAR EQUATION IN TWO VARIABLES PPT

The document provides information about solving linear equations and systems of linear equations. It defines a linear equation as an equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. It discusses three methods for solving a pair of linear equations:
1) The graphical method involves plotting the equations on a graph and finding their point of intersection.
2) The algebraic methods include substitution, elimination, and cross-multiplication. Substitution involves solving one equation for one variable and substituting it into the other equation. Elimination involves eliminating one variable to obtain an equation with just one variable.
3) Cross-

Linear equation in two variables

This project was created by four students - Ananya Gupta, Priya Srivastava, Manisha Negi, and Muskan Sharma from Class IX C at KV OFD Raipur in Dehradun, Uttarakhand. The project discusses linear equations and systems of linear equations, explaining concepts such as slope, y-intercept, dependent and independent equations, and methods for solving systems of linear equations graphically, by substitution, and by elimination.

Mathematics Paper Presentation Class X

This document discusses the conditions for consistency for pairs of linear equations. It defines a linear equation in two variables as having the form ax + by + c = 0, where a, b, and c are constants and x and y are the variables. It then examines four examples of pairs of linear equations:
1) A unique solution, which occurs when the lines intersect at a single point.
2) A many solutions, which occurs when the lines are coincident (lie on top of each other).
3) No solution, which occurs when the lines are parallel and do not intersect.
4) It concludes that a unique solution and many solutions result in consistent pairs of equations, while parallel lines that do not

Maths

This document discusses different methods for solving systems of linear equations, including graphical and algebraic approaches. It defines linear equations as equations that can be written in the form ax + by + c = 0, and explains that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. The algebraic methods covered are substitution, elimination, and cross-multiplication. Examples are provided for each method.

Maths ppt For Linear Equation In One Variable Class 10th!!

The document discusses different methods for solving systems of linear equations, including:
1) Graphical and algebraic methods can be used to solve a pair of linear equations in two variables. The graphical method involves plotting the lines on a graph and finding their point of intersection.
2) Algebraic methods include substitution, elimination, and cross-multiplication. Substitution involves solving one equation for one variable and substituting it into the other equation. Elimination eliminates one variable by multiplying/adding equations.
3) Cross-multiplication arranges the coefficients and constants to convert the equations before multiplying corresponding terms and equating. This allows the equations to be solved simultaneously.

Linear equations in two variables

1) The document discusses finding solutions to linear equations in two variables by using tables and plotting points on a coordinate plane.
2) It provides an example of writing an equation to represent the number of two-point and three-point baskets scored in a basketball game.
3) The key strategy explained is to fix a value for one variable (x or y), then solve the equation for the other variable to obtain an ordered pair solution (x, y).

Pair of linear equations in two variables for classX

This document discusses methods for solving pairs of linear equations in two variables: substitution, elimination, and cross-multiplication. The substitution method involves solving one equation for one variable and substituting it into the other equation. The elimination method involves multiplying the equations by constants to make coefficients equal and then adding or subtracting the equations to eliminate one variable. The cross-multiplication method involves cross-multiplying the coefficients of the equations to derive an equation with one variable that can then be solved.

Linear Equation In Two Variable

This document provides an overview of linear equations in two variables. It begins by introducing the standard form of a linear equation: ax + by + c = 0. It then discusses two methods for solving a pair of linear equations: the graphical and algebraic methods. Examples are provided to demonstrate plotting points from a linear equation in standard form and determining if a given point lies on the line. The document also notes that equations of the form x = n or y = n represent lines parallel to the y-axis or x-axis, respectively.

CLASS X MATHS LINEAR EQUATIONS

This document discusses linear equations in two variables. It begins by presenting the general form of a linear equation as ax + by + c = 0, where a, b, and c are real numbers. It then explains that a linear equation can have infinitely many solutions (x,y value pairs) that satisfy the equation, and these solutions lie on a straight line. The document provides an example of a single linear equation and shows its graph on the Cartesian plane. It also discusses systems of two linear equations, explaining that their solutions occur where the lines intersect. The document covers various algebraic methods for solving systems of linear equations, including elimination by substitution or equating coefficients, and solving by cross multiplication. It provides examples to illustrate these solution

Maths project

The document discusses systems of linear equations in two variables. It defines such a system as a pair of equations where the variables have coefficients that are real numbers. A consistent system has at least one solution, while an inconsistent system has no solutions. Such systems can be solved graphically by plotting the lines defined by each equation, or algebraically using substitution, elimination, or cross-multiplication methods.

Pair of linear equation in two variables

it has all the discription about the easy chapter pair of linear equation in two variables. and if you like it so pleras

Pair of linear equation in two variables (sparsh singh)

The document discusses different methods for solving systems of linear equations:
1) The substitution method involves substituting one variable's expression into the other equation.
2) The elimination method multiples equations to make coefficients equal and subtracts to eliminate one variable.
3) The cross-multiplication method multiplies equations by constants to isolate coefficients and solve for variables.
Each method follows defined steps to systematically solve the system.

Pair Of Linear Equations In Two Variables

PowerPoint Presentation of Learning Outcomes, Experiential content, Explanation Content, Hot Spot, Curiosity Questions, Mind Map, Question Bank of
Pair Of Linear Equations In Two Variables Class X

Linear equations

The document discusses various methods for solving systems of simultaneous linear equations with two variables. It explains that a system contains two or more linear equations involving the same variables. Common methods covered include substitution, where one variable is solved for and substituted into the other equation, and elimination, where coefficients are multiplied and equations are combined to eliminate one variable. Examples are provided to demonstrate both methods step-by-step. It emphasizes that solutions found must satisfy both original equations.

Linear equation in two variable for class X(TEN) by G R Ahmed

The document discusses linear and nonlinear equations. It provides examples of each and their key characteristics:
1. Linear equations are in the standard form of ax + by + c = 0, have variables with degree 1, and graph as a straight line.
2. Nonlinear equations have variables with degrees greater than 1, contain radicals, or have variables multiplied or divided.
3. The document also discusses finding the x- and y-intercepts of linear equations by setting one variable to 0 and solving for the other.

pairs of linear equation in two variable

This document discusses two methods for graphically solving systems of linear equations:
1) Assign a value to one variable and determine the value of the other variable from the given equations, plotting the points and connecting them with a line.
2) Eliminate one variable to obtain a single-variable equation, solve for the eliminated variable, then substitute back into one of the original equations to solve for the other variable.
For example, a system is solved by setting x=3, solving for y, then substituting back to find x= -1. The solution is plotted as the point (-1,6).

Pair of linear equations in two variable

Order of presentation
Anushka - Opening
Nikunj -Intro
Shubham - Graphical
Amel - Sunstitution
Siddhartha- Elimination
Karthik - Cross multiplication
Anushka - Equations reducible...& wrap-up
In case of any confusion..inform me by facebook, phone or in school

Linear equation in 2 variables

This document provides information about linear equations in two variables. It defines a linear equation as one that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. It discusses using the rectangular coordinate system to graph linear equations by plotting the x- and y-intercepts. It also describes how to determine if an ordered pair is a solution to a linear equation by substituting the x- and y-values into the equation. Finally, it briefly outlines common methods for solving systems of linear equations, including elimination, substitution, and cross-multiplication.

Pairs of linear equation in two variable by asim rajiv shandilya 10th a

This document provides an overview of pairs of linear equations in two variables. It discusses representing such equations graphically as two lines with possible solutions of unique intersection, no intersection, or overlapping lines. Algebraic methods for solving pairs of linear equations are presented, including substitution, elimination of a variable by making coefficients equal, and cross multiplication. Examples are provided to illustrate each method. The document also describes how to reduce equations not initially in the standard form for a pair of linear equations to that form so the equations can be solved using the described algebraic techniques.

Pair of linear equation in two variable

This document discusses linear equations in two variables. It defines a linear equation as an equation between two variables that forms a straight line when graphed. It then defines a linear equation in two variables as an equation with two variables, usually x and y, where the variables are multiplied by a number or added to another term. The document goes on to explain that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. It describes algebraic and graphical methods for solving systems of linear equations, focusing on substitution, elimination, and cross-multiplication algebraic methods.

Linear equations rev - copy

A system of linear equations in two variables can be solved either graphically or algebraically. Graphically, the solutions are found by drawing the lines corresponding to each equation and finding their point(s) of intersection. Algebraically, the equations are combined to eliminate one variable, resulting in an equation that can be solved for the remaining variable. A system has a single solution if the lines intersect at one point, no solution if the lines are parallel, or infinite solutions if the lines coincide as the same line.

Linear Equation in two variables

This document defines and provides examples of linear equations. It explains that a linear equation has variables with exponents of 1 that are added or subtracted. The document shows examples of linear equations in standard Ax + By = C form and identifies the slope and y-intercept. It also provides examples of nonlinear equations that do not follow the standard linear form. The document describes how to find the x-intercept and y-intercept of a linear equation by setting one variable equal to 0 and solving for the other. Graphing linear equations in slope-intercept form is also summarized.

LINEAR EQUATION IN TWO VARIABLES PPT

The document provides information about solving linear equations and systems of linear equations. It defines a linear equation as an equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. It discusses three methods for solving a pair of linear equations:
1) The graphical method involves plotting the equations on a graph and finding their point of intersection.
2) The algebraic methods include substitution, elimination, and cross-multiplication. Substitution involves solving one equation for one variable and substituting it into the other equation. Elimination involves eliminating one variable to obtain an equation with just one variable.
3) Cross-

Linear equation in two variables

This project was created by four students - Ananya Gupta, Priya Srivastava, Manisha Negi, and Muskan Sharma from Class IX C at KV OFD Raipur in Dehradun, Uttarakhand. The project discusses linear equations and systems of linear equations, explaining concepts such as slope, y-intercept, dependent and independent equations, and methods for solving systems of linear equations graphically, by substitution, and by elimination.

Mathematics Paper Presentation Class X

This document discusses the conditions for consistency for pairs of linear equations. It defines a linear equation in two variables as having the form ax + by + c = 0, where a, b, and c are constants and x and y are the variables. It then examines four examples of pairs of linear equations:
1) A unique solution, which occurs when the lines intersect at a single point.
2) A many solutions, which occurs when the lines are coincident (lie on top of each other).
3) No solution, which occurs when the lines are parallel and do not intersect.
4) It concludes that a unique solution and many solutions result in consistent pairs of equations, while parallel lines that do not

Linear equations in two variables

Linear equations in two variables

Pair of linear equations in two variables for classX

Pair of linear equations in two variables for classX

Linear Equation In Two Variable

Linear Equation In Two Variable

CLASS X MATHS LINEAR EQUATIONS

CLASS X MATHS LINEAR EQUATIONS

Maths project

Maths project

Pair of linear equation in two variables

Pair of linear equation in two variables

Pair of linear equation in two variables (sparsh singh)

Pair of linear equation in two variables (sparsh singh)

Pair Of Linear Equations In Two Variables

Pair Of Linear Equations In Two Variables

Linear equations

Linear equations

Linear equation in two variable for class X(TEN) by G R Ahmed

Linear equation in two variable for class X(TEN) by G R Ahmed

pairs of linear equation in two variable

pairs of linear equation in two variable

Pair of linear equations in two variable

Pair of linear equations in two variable

Linear equation in 2 variables

Linear equation in 2 variables

Pairs of linear equation in two variable by asim rajiv shandilya 10th a

Pairs of linear equation in two variable by asim rajiv shandilya 10th a

Pair of linear equation in two variable

Pair of linear equation in two variable

Linear equations rev - copy

Linear equations rev - copy

Linear Equation in two variables

Linear Equation in two variables

LINEAR EQUATION IN TWO VARIABLES PPT

LINEAR EQUATION IN TWO VARIABLES PPT

Linear equation in two variables

Linear equation in two variables

Mathematics Paper Presentation Class X

Mathematics Paper Presentation Class X

Maths

This document discusses different methods for solving systems of linear equations, including graphical and algebraic approaches. It defines linear equations as equations that can be written in the form ax + by + c = 0, and explains that a system of linear equations can have one solution, no solution, or infinitely many solutions depending on whether the lines intersect at one point, do not intersect, or coincide. The algebraic methods covered are substitution, elimination, and cross-multiplication. Examples are provided for each method.

Maths ppt For Linear Equation In One Variable Class 10th!!

The document discusses different methods for solving systems of linear equations, including:
1) Graphical and algebraic methods can be used to solve a pair of linear equations in two variables. The graphical method involves plotting the lines on a graph and finding their point of intersection.
2) Algebraic methods include substitution, elimination, and cross-multiplication. Substitution involves solving one equation for one variable and substituting it into the other equation. Elimination eliminates one variable by multiplying/adding equations.
3) Cross-multiplication arranges the coefficients and constants to convert the equations before multiplying corresponding terms and equating. This allows the equations to be solved simultaneously.

Class 10 maths

This document discusses linear equations in two variables. It defines a linear equation as an equation that can be written in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not equal to 0. It provides examples of linear equations and discusses their solutions. It describes three algebraic methods for solving a pair of linear equations: elimination method, substitution method, and cross-multiplication method. It provides examples demonstrating how to use each method to find the solutions for a system of two linear equations.

Linear equation in two variables

This document discusses solving systems of linear equations in two variables. There are three main algebraic methods discussed: 1) elimination by substitution, which involves substituting one variable's expression into the other equation to get an equation with just one variable; 2) elimination by equating coefficients, which involves multiplying equations by constants and subtracting to eliminate one variable; and 3) cross-multiplication, which uses cross-multiplication of fractions to eliminate one variable. An example of using elimination by substitution to solve the system x + 2y = -1 and 2x - 3y = 12 is shown.

linear equation in two variable.pptx

- The document discusses linear equations in two variables. It defines linear equations and explains that a linear equation in two variables can be written in the form ax + by = c.
- It describes how linear equations in two variables have infinitely many solutions, represented by pairs of x and y values. The graph of a linear equation in two variables is a straight line.
- The document also discusses how equations of lines parallel to the x-axis or y-axis can be represented. The graph of an equation of the form x = a is a line parallel to the y-axis, while an equation of the form y = a graphs as a line parallel to the x-axis.

Linearequationintwovariable 120626053452-phpapp02

This document discusses methods for solving systems of linear equations in two variables, including graphical and algebraic methods. Graphical methods involve plotting the lines defined by each equation on a graph and finding their point of intersection. Algebraic methods covered are elimination by substitution, elimination by equating coefficients, and cross-multiplication. An example using substitution to solve the system x + 2y = -1 and 2x - 3y = 12 is shown, finding the solution (3, -2).

CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT

This document provides information about linear equations in two variables. It defines linear equations and explains that a linear equation in two variables can be written in the form ax + by = c. The document also discusses finding the solutions of linear equations, graphing linear equations, and equations of lines parallel to the x-axis and y-axis. Examples are provided to illustrate key concepts. In the summary, key points are restated such as linear equations having infinitely many solutions and the graph of a linear equation being a straight line.

Pair of linear equations in 2 variables

This document provides information about solving pairs of linear equations in two variables. It discusses several methods for solving such equations, including elimination, substitution, and cross-multiplication. The elimination method involves multiplying equations by constants to eliminate one variable, then solving the resulting equation. The substitution method finds one variable in terms of the other from one equation, substitutes it into the other equation, and solves. Cross-multiplication uses the formula that the ratio of the coefficients of the variables in one equation equals the ratio of the constants. Word problems can also be solved by setting up linear equations from the information provided.

Linear equation in tow variable

This document discusses methods for solving systems of two linear equations with two unknown variables. It explains that a system of two linear equations can be represented graphically by finding the point of intersection between the lines defined by each equation. Algebraically, there are three main methods covered: elimination by substitution, elimination by equating coefficients, and cross-multiplication. An example using the substitution method is worked through step-by-step to find the solution (3, -2).

prashant tiwari ppt on maths

This document discusses methods for solving systems of two linear equations with two unknown variables. It explains that a system of two linear equations forms simultaneous equations that can have infinitely many solutions represented by a line. The document outlines both graphical and algebraic methods for finding the solution, including substitution and elimination techniques for solving the systems of equations algebraically. An example of each algebraic method is shown step-by-step to find the solution of a sample system.

Mathematics ppt.pptx

1) The document provides information about linear equations in two variables including the general form of a linear equation, single linear equations, systems of two linear equations, conditions for common solutions, and methods to solve systems of linear equations algebraically.
2) Examples are provided to illustrate graphing single linear equations, finding common solutions to systems of two linear equations, and solving systems using elimination and cross-multiplication methods.
3) Key methods for solving systems of linear equations discussed include elimination by substitution or equating coefficients, and cross-multiplication. Conditions for common solutions depend on whether lines intersect, are parallel, or are coincident.

linearequns-classx-180912070018.pdf

This document discusses linear equations in two variables. It begins by presenting the general form of a linear equation as ax + by + c = 0, where a, b, and c are real numbers. It then explains that a single linear equation represents a straight line and can have infinitely many solution pairs (x,y). The document also discusses how two linear equations can have a unique solution if their lines intersect, no solution if the lines are parallel, or infinitely many solutions if the lines are coincident. Finally, it presents different algebraic methods for solving systems of two linear equations, including substitution, elimination of coefficients, and cross-multiplication.

MATHS - Linear equation in two variable (Class - X) Maharashtra Board

MATHS - Linear equation in two variable
(Class - X)
Maharashtra Board
Equations/Expressions
Word Problem

Class 3.pdf

This document discusses solving simultaneous linear equations through algebraic and graphical methods. It covers:
- Algebraic methods like substitution and elimination to solve 2 equations with 2 unknowns.
- Graphing methods to find the point where two lines intersect, representing the solution.
- Conditions where equations have a unique solution, no solution, or infinitely many solutions.
- Extended examples are provided to demonstrate solving 2 and 3 equations with algebraic elimination.

4. Linear Equations in Two Variables 2.pdf

Math class 9 ppt is PPT Mein maine linear equation in two variable management

Linear equations in two variables

Linear equations in two variables based on class 10th maths cbse
you can follow me on my insta manas.more12 for more ppts

Polynomials And Linear Equation of Two Variables

A complete description of polynomials and also various methods to solve the Linear equation of two variables by substitution, cross multiplication and elimination methods.
For polynomials it also contains the description of monomials, binomials etc.

Linear equation in 2 variable class 10

The document discusses linear pairs of equations in two variables. It defines a linear equation as one that can be written in the form ax + by + c = 0. It explains that a pair of linear equations can be solved either algebraically or graphically. The graphical method involves plotting the lines defined by each equation on a graph and analyzing their intersection. Parallel lines mean no solution, intersecting lines mean a unique solution, and coincident lines mean infinitely many solutions. Several examples are worked through to demonstrate these concepts.

Graph of a linear equation vertical lines

- The document discusses graphing linear equations where a = 1 and b = 0, which produces a vertical line.
- It shows that the equation 1x + 0y = c is equivalent to x = c, and the graph of x = c is a vertical line passing through the point (c, 0).
- It concludes that for any equation of the form ax + by = c, where a = 1 and b = 0, the graph will be a vertical line.

Graph of a linear equation horizontal lines

The document discusses graphing linear equations where a or b equals 0, resulting in horizontal or vertical lines. It examines the equation 0x + 1y = 2 in detail, showing that its graph is a horizontal line at y = 2. More generally, it states that the graph of x = c is a vertical line through (c, 0), while the graph of y = c is a horizontal line through (0, c).

Maths

Maths

Maths ppt For Linear Equation In One Variable Class 10th!!

Maths ppt For Linear Equation In One Variable Class 10th!!

Class 10 maths

Class 10 maths

Linear equation in two variables

Linear equation in two variables

linear equation in two variable.pptx

linear equation in two variable.pptx

Linearequationintwovariable 120626053452-phpapp02

Linearequationintwovariable 120626053452-phpapp02

CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT

CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT

Pair of linear equations in 2 variables

Pair of linear equations in 2 variables

Linear equation in tow variable

Linear equation in tow variable

prashant tiwari ppt on maths

prashant tiwari ppt on maths

Mathematics ppt.pptx

Mathematics ppt.pptx

linearequns-classx-180912070018.pdf

linearequns-classx-180912070018.pdf

MATHS - Linear equation in two variable (Class - X) Maharashtra Board

MATHS - Linear equation in two variable (Class - X) Maharashtra Board

Class 3.pdf

Class 3.pdf

4. Linear Equations in Two Variables 2.pdf

4. Linear Equations in Two Variables 2.pdf

Linear equations in two variables

Linear equations in two variables

Polynomials And Linear Equation of Two Variables

Polynomials And Linear Equation of Two Variables

Linear equation in 2 variable class 10

Linear equation in 2 variable class 10

Graph of a linear equation vertical lines

Graph of a linear equation vertical lines

Graph of a linear equation horizontal lines

Graph of a linear equation horizontal lines

Photonics and Mobile Communications

This one is based on the use of Photnics and Mobile Comm in Daily Life and How can we use this Strategy in our Future Life with some Introductry Information.

Operators in java script

this one is very useful for the upcoming java lovers and the Computer Science students.
So i hope u all will like it

Direct And Indirect Speech

The document discusses direct and indirect speech. Direct speech uses exact words from a speaker and uses quotation marks, while indirect speech does not use the exact words and does not use quotation marks. When changing from direct to indirect speech, pronouns, tenses, adverbs of time and place may need to change according to reporting formulas. Verb tenses only change if the reporting verb is in the past tense.

Nature's Medicinal Plants

Ashwagandha is a plant species that grows as a short shrub with small green flowers and orange-red fruit. Its long brown roots are used for medicinal purposes and have an odor resembling a sweaty horse. The roots contain alkaloids and steroidal lactones like withanolide and withaferin A that have medicinal effects such as inducing sleep. Aloe Vera is a succulent plant species originating in Africa. It is frequently cited for herbal medicinal use since ancient times. Aloe vera gel is used in cosmetics, foods, and some folk medicines for skin treatments due to its antimicrobial saponin compound.

Applications of mathematics in our daily life

The document discusses the history of mathematics. It states that the study of mathematics as its own field began in ancient Greece with Pythagoras, who coined the term "mathematics." Greek mathematics refined methods and expanded subject matter. Beginning in the 16th century Renaissance, new mathematical developments interacting with scientific discoveries occurred at an increasing pace. The document also notes that mathematics has been used since ancient times, with early uses including building the pyramids in Egypt.

Democracy

Democracy is a form of government where all eligible citizens participate equally in creating laws, either directly or through elected representatives. It encompasses social, religious, cultural, ethnic, and racial equality, justice, and liberty. Representative democracy arose from ideas developed in medieval Europe and revolutions in America and France. Some countries are considered non-democratic because they lack free and fair elections or the principle of one person, one vote.

Les Animaux

French names of animals of various types

Asexual Reproduction

Twins are two offspring from the same pregnancy, usually born close together. They can be the same or different sex. Identical twins result from one fertilized egg that splits, while fraternal twins develop from two separate eggs fertilized in the same pregnancy. Cloning is the process of producing genetically identical individuals, and it occurs naturally in some species or can be done through DNA transfer techniques in biotechnology and molecular biology. Asexual reproduction involves a single parent where the offspring is genetically identical, and it can occur through various cell division or budding processes.

Mathematical Discoveries

Mathematics is defined as the science dealing with logic, quantity, and arrangement. It includes areas like geometry, algebra, and calculus. Mathematics helps analyze structures, make calculations, and draw conclusions. Some influential mathematicians mentioned include Euclid, Euler, Gauss, Newton, Leibniz, Pythagoras, and Turing. Euler was known as the "king of math" and made important contributions like generalizing Fermat's Little Theorem. Gauss was a child prodigy known as the "Prince of Mathematics." Euclid was influential for his work in geometry and is considered the "Father of Mathematics."

Contribution of euler & euclid

It lets you know about the great mathematician Euler and Euclid

Application of algebra

Algebra is a broad part of mathematics that includes everything from solving simple equations to studying abstract concepts like groups, rings, and fields. It has its roots in early civilizations like Egypt and Babylonia but was further developed by Greek mathematicians and Indian mathematicians like Aryabhata and Brahmagupta. Algebra is important in everyday life for tasks like calculating distances, volumes, and interest rates, as well as for science, technology, engineering, and other fields that require mathematical modeling and problem-solving skills.

Applications of maths in our daily life

Mathematics has been used since ancient times, first developing with counting. It is useful in many areas of modern life like business, cooking, and art. Mathematics is the science of shape, quantity, and arrangement, and was used by ancient Egyptians to build the pyramids using geometry and algebra. Percentages can be understood using currency denominations, and fractions can be seen by dividing fruits and vegetables. Geometry, arithmetic, and calculus are applied in fields like construction, markets, engineering, and physics. Mathematics underlies structures and is important for careers requiring university degrees.

Photonics and Mobile Communications

Photonics and Mobile Communications

Operators in java script

Operators in java script

Direct And Indirect Speech

Direct And Indirect Speech

Nature's Medicinal Plants

Nature's Medicinal Plants

Applications of mathematics in our daily life

Applications of mathematics in our daily life

Democracy

Democracy

Les Animaux

Les Animaux

Asexual Reproduction

Asexual Reproduction

Mathematical Discoveries

Mathematical Discoveries

Contribution of euler & euclid

Contribution of euler & euclid

Application of algebra

Application of algebra

Applications of maths in our daily life

Applications of maths in our daily life

Wound healing PPT

This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.

The History of Stoke Newington Street Names

Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com

PIMS Job Advertisement 2024.pdf Islamabad

advasitment of Punjab

Advanced Java[Extra Concepts, Not Difficult].docx

This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.

คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1

คำศัพท์เบื้องต้นสำหรับอ่าน ของนักเรียนชั้น ม.1

UGC NET Exam Paper 1- Unit 1:Teaching Aptitude

UGC NET Exam Paper 1- Unit 1:Teaching Aptitude

Pengantar Penggunaan Flutter - Dart programming language1.pptx

Pengantar Penggunaan Flutter - Dart programming language1.pptx

Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...

Librarians are leading the way in creating future-ready citizens – now we need to update our spaces to match. In this session, attendees will get inspiration for transforming their library spaces. You’ll learn how to survey students and patrons, create a focus group, and use design thinking to brainstorm ideas for your space. We’ll discuss budget friendly ways to change your space as well as how to find funding. No matter where you’re at, you’ll find ideas for reimagining your space in this session.

How to Manage Your Lost Opportunities in Odoo 17 CRM

Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM

Film vocab for eal 3 students: Australia the movie

film vocab esl

Leveraging Generative AI to Drive Nonprofit Innovation

In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)

LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP

This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.

writing about opinions about Australia the movie

writing about opinions about Australia the movie

C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx

C1 Rubenstein

How to Setup Warehouse & Location in Odoo 17 Inventory

In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.

Liberal Approach to the Study of Indian Politics.pdf

The Best topic of my Interest.

BÀI TẬP DẠY THÊM TIẾNG ANH LỚP 7 CẢ NĂM FRIENDS PLUS SÁCH CHÂN TRỜI SÁNG TẠO ...

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https://app.box.com/s/qhtvq32h4ybf9t49ku85x0n3xl4jhr15Chapter 4 - Islamic Financial Institutions in Malaysia.pptx

Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia

This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
How to Create a More Engaging and Human Online Learning Experience

How to Create a More Engaging and Human Online Learning Experience Wahiba Chair Training & Consulting

Wahiba Chair's Talk at the 2024 Learning Ideas Conference. Wound healing PPT

Wound healing PPT

The History of Stoke Newington Street Names

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PIMS Job Advertisement 2024.pdf Islamabad

PIMS Job Advertisement 2024.pdf Islamabad

Advanced Java[Extra Concepts, Not Difficult].docx

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คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1

คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1

UGC NET Exam Paper 1- Unit 1:Teaching Aptitude

UGC NET Exam Paper 1- Unit 1:Teaching Aptitude

Pengantar Penggunaan Flutter - Dart programming language1.pptx

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Reimagining Your Library Space: How to Increase the Vibes in Your Library No ...

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How to Manage Your Lost Opportunities in Odoo 17 CRM

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Film vocab for eal 3 students: Australia the movie

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Leveraging Generative AI to Drive Nonprofit Innovation

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LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP

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writing about opinions about Australia the movie

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Chapter 4 - Islamic Financial Institutions in Malaysia.pptx

How to Create a More Engaging and Human Online Learning Experience

How to Create a More Engaging and Human Online Learning Experience

- 1. Presented By:- Abhinav Somani
- 2. System Of Equations • A pair of Linear equation in two variables is said to form a system of linear equation. • For Example:- 2x-3y+9=0 x+4y+2=0 • These Equations form a system of Two Linear Equations in variables x and y.
- 3. General form of linear equations in two variables • The general form of a linear equation in two variables x and y is ax + by + c = 0, a and b is not equal to zero, where a, b and c being real numbers. • A solution of such an equation is a pair of values, One for x and the other for y, Which makes two sides of the equation equal. Every linear equation in two variables has infinitely many solutions which can be represented on a certain line.
- 4. Graphical Solutions of a Linear Equations • Let us consider the following system of two simultaneous linear equations in two variable. 2x+y-8=0 2x-5y+4=0 • Here we assign any value to one of the two variables and then determine the value of the other variable from the given equation
- 5. Solving Equations 1. 2x+y-8=0 X 4 0 Y 0 8 2. 2x-5y+4=0 X -2 0 Y 0 4/5 • 2x+y=8 2x+0=8 x=8/4 x=2 • 2x+y=8 2x0+y=8 0+y=8 y=8 • 2x-5y= -4 2x-5x0= -4 2x-0= -4 x= -2 • 2x-5y= -4 2x0-5y= -4 0-5y= -4 y=4/5
- 7. Algebraic Methods of Solving Simultaneous Linear Equations • The most commonly used algebraic methods of solving simultaneous linear equations in two variables are:- Method of Elimination by substitution Method of Elimination by equating the coefficient. Method of Cross Multiplication.
- 8. Elimination by substitution • Obtain the two equations. Let the equations be a1x+b1y+c1=0 (i) a2x+b2y+c2=0 (ii) • Choose either of the two equations say (i) and find the value of one variable say ‘y’ in terms of x. • Substitute the value of y, obtained in the previous step in equation (ii) to get an equation in x.
- 9. • Solve the equation obtained in the previous step to get the value of x. • Substitute the value of x and get the value of y. Let us take an example x+2y=-1 (i) 2x-3y=12 (ii) For (i) equation 1. x+2y=-1 x=-2y-1 (iii)
- 10. • Substituting the value of x in equation (ii), we get 2x-3y=12 2(-2y-1) -3y=12 -4y-2-3y=12 -4y-3y=12+2 -7y=14 y=-2
- 11. • Putting the value of y in equation (iii) we get x=-2(-2)-1 x= 4-1 x=3
- 12. Elimination Method • In this method we eliminate one of the two variables to obtain an equation in one variable which can easily be solved. • Putting the value of the variable in any of the given equations. The value of the other variable can be obtained. • For example:- 3x+2y=11 2x+3y=4
- 13. • Let 3x+2y=11 (i) 2x+3y=4 (ii) • Multiply 3 in equation (i) and 2 in equation (ii) and subtracting equation (iv) from (iii), we get 9x+6y=33 (iii) 4x+6y=8 (iv) 5x =25 x=5
- 14. • Putting the value of x in equation (ii) we get, 2x+3y=4 2x5+3y=4 10+3y=4 3y=4-10 3y=-6 y=-2