## What's hot

Linear equations in two variables
Linear equations in two variables
julienorman80065

Pair of linear equations in two variables for classX
Pair of linear equations in two variables for classX
swastik999

Linear Equation In Two Variable
Linear Equation In Two Variable
GraceEdwin1

CLASS X MATHS LINEAR EQUATIONS
CLASS X MATHS LINEAR EQUATIONS
Rc Os

Maths project
Maths project
Shaan Ahmd

Pair of linear equation in two variables
Pair of linear equation in two variables
shivangi gupta

Pair of linear equation in two variables (sparsh singh)
Pair of linear equation in two variables (sparsh singh)
Sparsh Singh

Pair Of Linear Equations In Two Variables
Pair Of Linear Equations In Two Variables
Deo Baran

Linear equations
Linear equations
jessica gonzalez

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
MD. G R Ahmed

pairs of linear equation in two variable
pairs of linear equation in two variable
Jashan Kainth

Pair of linear equations in two variable
Pair of linear equations in two variable
Buddhimaan Chanakya

Linear equation in 2 variables
Linear equation in 2 variables
avb public school

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
asim1001

Pair of linear equation in two variable
Pair of linear equation in two variable
Vineet Mathur

Linear equations rev - copy
Linear equations rev - copy
Yash Jain

Linear Equation in two variables
Linear Equation in two variables
Jhay8

LINEAR EQUATION IN TWO VARIABLES PPT
LINEAR EQUATION IN TWO VARIABLES PPT
Abhishek Dev

Linear equation in two variables
Linear equation in two variables
Abhaya Gupta

Mathematics Paper Presentation Class X
Mathematics Paper Presentation Class X
borborua

### What's hot(20)

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

## Similar to Linear equations in Two Variable

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

Class 10 maths
Class 10 maths

Linear equation in two variables
Linear equation in two variables
MRXNOOBGAMING

linear equation in two variable.pptx
linear equation in two variable.pptx
KirtiChauhan62

Linearequationintwovariable 120626053452-phpapp02
Linearequationintwovariable 120626053452-phpapp02
Vineet Mehta

CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT
CLASS 9 LINEAR EQUATIONS IN TWO VARIABLES PPT
05092000

Pair of linear equations in 2 variables
Pair of linear equations in 2 variables
geet bajaj

Linear equation in tow variable
Linear equation in tow variable
Rufus Arul

prashant tiwari ppt on maths
prashant tiwari ppt on maths
Prashant tiwari

Mathematics ppt.pptx
Mathematics ppt.pptx
SangitaPatil50

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
Pooja M

Class 3.pdf
4. Linear Equations in Two Variables 2.pdf
4. Linear Equations in Two Variables 2.pdf
silki0908

Linear equations in two variables
Linear equations in two variables
vijayapatil27

Polynomials And Linear Equation of Two Variables
Polynomials And Linear Equation of Two Variables
Ankur Patel

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
julienorman80065

Graph of a linear equation horizontal lines
Graph of a linear equation horizontal lines
julienorman80065

### Similar to Linear equations in Two Variable(20)

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

## More from Abhinav Somani

Photonics and Mobile Communications
Photonics and Mobile Communications
Abhinav Somani

Operators in java script
Operators in java script
Abhinav Somani

Direct And Indirect Speech
Direct And Indirect Speech
Abhinav Somani

Nature's Medicinal Plants
Nature's Medicinal Plants
Abhinav Somani

Applications of mathematics in our daily life
Applications of mathematics in our daily life
Abhinav Somani

Democracy
Democracy
Abhinav Somani

Les Animaux
Les Animaux
Abhinav Somani

Asexual Reproduction
Asexual Reproduction
Abhinav Somani

Mathematical Discoveries
Mathematical Discoveries
Abhinav Somani

Contribution of euler & euclid
Contribution of euler & euclid
Abhinav Somani

Application of algebra
Application of algebra
Abhinav Somani

Applications of maths in our daily life
Applications of maths in our daily life
Abhinav Somani

### More from Abhinav Somani(12)

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
Wound healing PPT
Jyoti Chand

The History of Stoke Newington Street Names
The History of Stoke Newington Street Names
History of Stoke Newington

AyyanKhan40

คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
คำศัพท์ คำพื้นฐานการอ่าน ภาษาอังกฤษ ระดับชั้น ม.1
สมใจ จันสุกสี

UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
UGC NET Exam Paper 1- Unit 1:Teaching Aptitude
S. Raj Kumar

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

How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM
Celine George

Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie
Nicholas Montgomery

Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
TechSoup

LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
RAHUL

Nicholas Montgomery

C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
mulvey2

Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
amberjdewit93

How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Celine George

Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
WaniBasim

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

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

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

Wound healing PPT
Wound healing PPT

The History of Stoke Newington Street Names
The History of Stoke Newington Street Names

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
Pengantar Penggunaan Flutter - Dart programming language1.pptx

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

How to Manage Your Lost Opportunities in Odoo 17 CRM
How to Manage Your Lost Opportunities in Odoo 17 CRM

Film vocab for eal 3 students: Australia the movie
Film vocab for eal 3 students: Australia the movie

Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation

LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UP

C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx
C1 Rubenstein AP HuG xxxxxxxxxxxxxx.pptx

Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design

How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory

Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf

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

Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
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

### Linear equations in Two Variable

• 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
• 6.
• 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
Current LanguageEnglish
Español
Portugues
Français
Deutsche