-x + 8y = -32
3x - y = 27
multiply the top equation by 3 on both sides
-3x + 24y = -96
3x - y = 27
add the bottom equation to the top
0x + 23y = -69
3x - y = 27
divide the top equation by 23 on both sides
0x + y = -3
3x - y = 27
Now we know that y = -3
add the top equation to the bottom
0x + y = -3
3x + 0y = 24
divide the bottom equation by 3 on both sides
0x + y = -3
x + 0y = 8
Now we know that x = 8
Answer: x = 8, y = -3