using elimination to solve

Since we have the equations starting with 4x and -4x, it looks like we can combine them straight off and eliminate x:

-4x + 2y = 8

4x - 3y = -10

-y = -2 ====> **y = 2**

Plugging into either equation,

-4x + 2(2) = 8 ===> -4x + 4 = 8 ===> -4x = 4

x = -1

So our solution is (-1, 2)