Question

4x – 3y=8
2. 5x – 2y = -11

Answer 1

`x = -7`

`y = - 12`

Explanation:

The given system is:

4x-3y=8

5x-2y=-11

We make x the subject in the top equation to get:

`x = (3)/(4)y + 2`

Plug this expression for x in the bottom equation to get

`5( (3)/(4)y + 2) - 2y= - 11`

We expand to obtain

`(15)/(4) y + 10 - 2y = - 11`

Multiply through by 4

`15y + 40 - 8y = - 44`

Group similar terms

`15y - 8y = - 44 - 40`

`7y = - 84`

`y = - (84)/(7) =-12`

This means

`x = -12* (3)/(4) + 2`

`x = - 7`