This question is similar to Chapter 3 Class 10 Pair of Linear Equations in Two Variables - Ex 3.1

Please check the question here

https://www.teachoo.com/1512/499/Ex-3.2--7---Draw-graphs-of-x---y---1--0-and-3x---2y---12--0/category/Ex-3.2/

Slide95.JPG

Slide96.JPG
Slide97.JPG
Slide98.JPG
Slide99.JPG

 

Go Ad-free

Transcript

Question 32 (A) Solve the following system of linear equations graphically: x+2y = 3, 2x-3y+8 = 0Our equations are x + 2y = 3 2x − 3y = −8 For Equation (1) x + 2y = 3 Putting x = 0 0 + 2y = 3 2y = 3 y = 3/2 y = 1.5 So, x = 0, y = 1.5 is a solution i.e. (0, 1.5) is a solution Putting y = 0 x + 2(0) = 3 x + 0 = 3 x = 3 So, x = 3, y = 0 is a solution i.e. (3, 0) is a solution For Equation (2) 2x − 3y = −8 Putting x = 0 2(0) − 3y = −8 −3y = −8 y = (−8)/(−3) y = 2.67 So, x = 0, y = 2.67 is a solution i.e. (0, 2.67) is a solution Putting y = 0 2x − 3(0) = −8 2x = −8 x = (−8)/2 x = −4 So, x = −4, y = 0 is a solution i.e. (−4, 0) is a solution We will plot both equations on the graph Since lines intersect at (−1, 2) ∴ x = −1, y = 2 is the solution of the pair of equations

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.