1 of 15

## More Related Content

### What's hot(20)

Linear equations in two variables- By- Pragyan
Linear equations in two variables- By- Pragyan

Polynomials CLASS 10
Polynomials CLASS 10

Pair of linear equation in two variables
Pair of linear equation in two variables

ORDINARY DIFFERENTIAL EQUATION
ORDINARY DIFFERENTIAL EQUATION

PPT on Linear Equations in two variables
PPT on Linear Equations in two variables

Ppt polynomials(prince)
Ppt polynomials(prince)

CLASS X MATHS Coordinate geometry
CLASS X MATHS Coordinate geometry

Distance Between Two Points.pptx
Distance Between Two Points.pptx

LINEAR EQUATION IN TWO VARIABLES
LINEAR EQUATION IN TWO 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

Coordinate geometry
Coordinate geometry

Polynomials
Polynomials

Coordinategeometry1 1
Coordinategeometry1 1

Linear equation in 2 variables
Linear equation in 2 variables

First Quarter - Chapter 2 - Quadratic Equation
First Quarter - Chapter 2 - Quadratic Equation

Trigonometric function
Trigonometric function

### Similar to Linear equations Class 10 by aryan kathuria(20)

Linear equation in two variable
Linear equation in two variable

Maths ppt linear equations in two variables
Maths ppt linear equations in two variables

Linear equation in two variables
Linear equation in two variables

Ultimate guide to systems of equations
Ultimate guide to systems of equations

Linear equations in two variables
Linear equations in two variables

Linear equations
Linear equations

Pair of linear equations in two variable
Pair of linear equations in two variable

Class 10 maths
Class 10 maths

Pair Of Linear Equations In Two Variables
Pair Of Linear Equations In Two Variables

Linear equations in Two Variable
Linear equations in Two Variable

Class 3.pdf
Class 3.pdf

Polynomials And Linear Equation of Two Variables
Polynomials And Linear Equation of Two Variables

Lecture 11 systems of nonlinear equations
Lecture 11 systems of nonlinear equations

Maths
Maths

linear equation in two variable.pptx
linear equation in two variable.pptx

February 13, 2015
February 13, 2015

Linear equations in two variables
Linear equations in two variables

Maths
Maths

linearequns-classx-180912070018.pdf
linearequns-classx-180912070018.pdf

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

Ernest Hemingway's For Whom the Bell Tolls
Ernest Hemingway's For Whom the Bell Tolls

OS-operating systems- ch05 (CPU Scheduling) ...
OS-operating systems- ch05 (CPU Scheduling) ...

Details on CBSE Compartment Exam.pptx1111
Details on CBSE Compartment Exam.pptx1111

How to Send Pro Forma Invoice to Your Customers in Odoo 17
How to Send Pro Forma Invoice to Your Customers in Odoo 17

FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf
FICTIONAL SALESMAN/SALESMAN SNSW 2024.pdf

e-Sealing at EADTU by Kamakshi Rajagopal
e-Sealing at EADTU by Kamakshi Rajagopal

UChicago CMSC 23320 - The Best Commit Messages of 2024
UChicago CMSC 23320 - The Best Commit Messages of 2024

PUBLIC FINANCE AND TAXATION COURSE-1-4.pdf
PUBLIC FINANCE AND TAXATION COURSE-1-4.pdf

dusjagr & nano talk on open tools for agriculture research and learning
dusjagr & nano talk on open tools for agriculture research and learning

UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf
UGC NET Paper 1 Unit 7 DATA INTERPRETATION.pdf

Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships
Spring gala 2024 photo slideshow - Celebrating School-Community Partnerships

OSCM Unit 2_Operations Processes & Systems
OSCM Unit 2_Operations Processes & Systems

SURVEY I created for uni project research
SURVEY I created for uni project research

Model Attribute _rec_name in the Odoo 17
Model Attribute _rec_name in the Odoo 17

Pharmaceutical Biotechnology VI semester.pdf
Pharmaceutical Biotechnology VI semester.pdf

FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024

Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf
Contoh Aksi Nyata Refleksi Diri ( NUR ).pdf

SPLICE Working Group: Reusable Code Examples
SPLICE Working Group: Reusable Code Examples

80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...
80 ĐỀ THI THỬ TUYỂN SINH TIẾNG ANH VÀO 10 SỞ GD – ĐT THÀNH PHỐ HỒ CHÍ MINH NĂ...

### Linear equations Class 10 by aryan kathuria

• 1.
• 2. Linear Equations Definition of a Linear Equation A linear equation in two variable x is 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 is not equal to 0. An example of a linear equation in x is .
• 3. Let ax + by +c = O , where a ,b , c are real numbers such that a and b ≠ O. Then, any pair of values of x and y which satisfies the equation ax + by +c = O, is called a solution of it. A Pair of Linear Equation In Two Variables Can Be Solved – i. By Graphical Method ii. By Algebraic Method SOLUTIONS OF A LINEAR EQUATION
• 4. GRAPHICAL SOLUTIONS OF A LINEAR EQUATION Let us consider the following system of linear equations in two variable I. 2x-y=-1 II. 3x+2y=9 Now solution of each equation are to be taken by- i. Firstly express one variable in terms of other. ii. Now assign any value to one variable and then determine the value of other variable. Then plot the equations and determine the solutions Of system of linear equation in two variables
• 5. For Eq. 1 2x - y= -1 y = 2x + 1 Put x = 0 y = 2(0) + 1 y = 1 Put x = 2 y = 2(2) + 1 y = 5 For Eq. 2 3x + 2y = 9 y = 9 - 3x/2 Put x = 3 y = 9 - 3(3) /2 y = 0 Put x = -1 y = 9 - 3(-1) /2 y = 6 X 0 2 y 1 5 X 3 -1 y 0 6
• 6. 1 2 3 4-4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 -6 ( 2,5 ) ( -1,6 ) ( 3,0 ) ( 0,1 ) X = 1 Y = 3 Is the solution for system of equations
• 7. TYPES OF SOLUTIONS of system of equations UNIQUE SOLUTION consistent a1/a2 ≠ b1/b2 Lines intersecting at a point INFINITE SOLUTIONS consistent a1/a2 = b1/b2 = c1/c2 Coincident Lines NO SOLUTION Non consistent a1/a2 = b1/b2 ≠ c1/c2 Parallel Lines
• 8. TYPES OF METHOD:- TO SOLVE A PAIR OF LINEAR EQUATION IN TWO VARIABLE BY ALGEABRIC METHODS I. Elimination Method II.Substitution Method III.Cross-Multiplication Method
• 9. • Make one variable equal in both the equations and then either add or subtract the equations to eliminate the variable. • The resulting equation in one variable is solved and then by substituting this value of the variable in either of the given equation, the value of the other variable is also obtained. ELIMINATION METHOD
• 10. Q. Solve using the method of Elimination I. 2x + y = 8 II. 2(x + 6y = 15) For making the coefficients of x in eq.(1) and eq.(2) equal, we multiply eq.(2) by 2 and get 2x + y = 8 -(3) 2x + 12y = 30 -(4) Subtracting Eq.(3) from eq.(4), we have 11y = 22 y = 2 Put this value of y in eq.(1) 2x + 2 = 8 2x = 6 x = 3
• 11. • Find the value of one variable in the terms of other variable. Substitute it in other equation and we will get value of one of the variable. Then put the value of variable in any one of the equation and the value of other variable is also obtained. SUBSTITUTION METHOD
• 12. Q. Solve using the method of Substitution I. x + 2y = -1 II. 2x - 3y = 12 From Eq.(1), we have x = -1 – 2y - (3) Substituting this value of x in eq.(2), we have 2(-1 – 2y) – 3y =12 - 2 - 4y – 3y = 12 - 7y = 14 y = -2 Put this value of y in Eq.(3), we have x = -1 -2(-2) x = -1 + 4 x = 3
• 14. Q. Solve using the method of cross-Multiplication 5x + 3y = 35 5x + 3y - 35 = 0 2x + 4y = 28 2x + 4y - 28 = 0 a1 = 5 b1 = 3 c1= -35 a2 = 2 b2 = 4 c2= -28 ___x___ = ___y___ = ___1___ (3)(-28)-(4)(-35) (-35)(2)-(-28)(5) (5)(4)-(2)(3) -84 + 140 -70 + 140 20 – 6 56/14 70/14 14 x = 4 and y = 5
Current LanguageEnglish
Español
Portugues
Français
Deutsche