Question

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

Answer 1

2x + 3y = 11 )
( 2x - 4y = -24 ) × -1
- + +
----------------------------
0 + 7y = 35

y = 5 , x = -2

y = mx + 3, 5=m (-2) + 3

m = -1

Answer 2

HERE IS YOUR ANSWER MATE.....;

2x + 3y = 11…………………………..(i)

2x – 4y = -24………………………… (ii)

From equation (ii), we get

x = (11 – 3y)/2 ……….…………………………..(iii)

Putting the value of x in equation (ii), we get

2[(11 – 3y)/2] – 4y = −24

11 – 3y – 4y = -24

-7y = -35

y = 5……………………………………..(iv)

Putting the value of y in equation (iii), we get;

x = (11 – 15)/2 = -4/2 = −2

Hence, x = -2, y = 5

Also,

y = mx + 3

5 = -2m +3

-2m = 2

m = -1

Therefore, the value of m is -1.

Hope It's Helpful....:)