Answer:
(7,-6)
x = 7, y = -6
Explanation:
(1) 6x - 5y = 72
(2) 2x + 6y = -22
multiply equation (2) by -3
-3 (2x + 6y = -22)
-6x - 18y = 66
add equation (1) and the new equation:
6x + -6x = 0
-5y + -18y = -23y
72 + 66 = 138
---> -23y = 138
divide both sides by -23
y = -6
plug in y = -6 into equation (2):
2x + 6(-6) = -22
2x - 36 = -22
2x = 14
x = 7