Question

How do you solve the following system?: `7x +2y =-2 , -4x +5y = 4`

Answer 1

`x=-18/43` and `y=20/43`

Explanation:

`4*(7x+2y)+7*(-4x+5y)=4*(-2)+7*4`

`28x+8y-28x+35y=-8+28`

`43y=20` , so `y=20/43`

Hence,

`-4x+5*20/43=4`

`-4x=(172-100)/43`

`-4x=72/43`, so `x=-18/43`