# Solve 2x + 3y =11 and 2x - 4y = -24, and hence find the value of ‘m’ for which y = mx + 3

**Solution:**

Solve the linear equations (1) and (2) by substitution method and substitute the values of x and y in y = mx + 3 to get the value of m.

2x + 3y = 11 ...(1)

2x - 4 y = -24 ...(2)

By solving the equation (1)

2x + 3y = 11

3y = 11- 2x

y = (11- 2x)/3 ...(3)

Substituting y = (11- 2x)/3 in equation (2), we get

2x - 4[(11- 2x)/3] = -24

(6x - 44 + 8x)/3 = -24

14x - 44 = -72

14x = 44 - 72

x = - 28/14

x = - 2

Substituting x = - 2 in equation (3)

y = [11- 2-× (-2)]/3

y = (11+ 4)/3

y = 15/3

y = 5

Now, Substituting x = -2 and y = 5 in y = mx + 3

y = mx + 3

5 = m(- 2) + 3

5 - 3 = - 2m

2 = - 2m

m = 2/-2

m = - 1

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

**Video Solution:**

## Solve 2x + 3y =11 and 2x - 4 y = -24, and hence find the value of ‘m’ for which y = mx + 3

### NCERT Solutions for Class 10 Maths - Chapter 3 Exercise 3.3 Question 2:

Solve 2x + 3y =11 and 2x - 4 y = -24, and hence find the value of ‘m’ for which y = mx + 3

On solving the pair of equations that are 2x + 3y =11 and 2x - 4 y = -24 we get x = -2, y = 5, m = -1