Question

How do you solve the system of equations `-2x + 2y = - 12` and `- 2x - 3y = 13`?

Answer 1

`x=31,y=25`

Explanation:

Let `-2x+2y=-12` be equation 1 and `-2x-3y=13` equation 2.

Subtract equation 2 from equation 1
# -2x+2y=-12 (-)-2x-3y=13#
`-y=-25`
`y=25`

Substitute `y=25` into equation 1 to find the value of `x`
`-2x+2(25)=-12`
`-2x+50=-12`
`-2x=-62`
`x=31`