Answer: (-5, 2)
2x + 2y = -6
-2x + y = 12
3y = 6
/3 /3
y = 2
(-2x and 2x cancels out)
Now we substitute y(2) into one of our equations (2x + 2y = -6 or -2x + y = 12)
2x + 2y = -6
2x + 2(2) = -6
2x + 4 = -6
- 4 -4
2x = -10
/2 /2
x = -5
(x,y) -> (-5, 2)
Check your answer:
2x + 2y = -6
2(-5) + 2(2) = -6
-10 + 4 = -6
-6 = -6
This statement is true, which makes our answer correct.
Hope this helps!