NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 2

Question:

Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3. using substitution method

Given:

2x + 3y = 11 ---(1)
2x – 4y = – 24 ---(2)
y = mx + 3 ---(3)

To Find:

The values of x and y, and the value of m.

Formula:

Substitution method

Solution:

From equation (1), 2x = 11 - 3y ⇒ x = 11 - 3y 2

Substitute this value of x in equation (2):
2( 11 - 3y 2 ) – 4y = –24
11 - 3y -4y = -24
11 - 7y = -24
-7y = -35
y = 5

Substitute y = 5 in equation (1):
2x + 3(5) = 11
2x + 15 = 11
2x = -4
x = -2

Substitute x = -2 and y = 5 in equation (3):
5 = m(-2) + 3
5 = -2m + 3
2 = -2m
m = -1

Result:

x = -2, y = 5, m = -1

Next question solution:

NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 3(i)

Explore more in Pair of Linear Equations:

Click this link to explore more NCERT Class X Chapter 3 Pair of Linear Equations

Explore more:

Click this link to explore more NCERT Class X chapter solutions

© Kaliyuga Ekalavya. All rights reserved.