This is a system of linear equations. First, you can add the two equations together to eliminate the y so that you can solve for x:
-5x + -7x = 0 + -96
-12x = -96
x = 8
Use x to solve for y:
-5 * 8 + 8y = 0
Add 40 to both sides and divide by 8:
y = 5
So, x = 8 and y = 5.