-4x + 4y = -12
7x - 4y = 24
the 4y’s cancel out
3x = 12
divide by 3 to get x by itself
x = 4
plug your x value into either of your original equations
-4 (3) + 4y = -12
-12 + 4y = -12
4y = 0
y = 0
(4,0)
you can check your answer by plugging both the x and y values in
-4(3) + 4(0) = -12
-12 + 0 = -12
-12 = -12
this statement is true so we can confirm the answer would be (4,0)