Answer:
x = 2; y = -9
Step-by-step explanation:
(1) 4x + 6y = -46
(2) -2x – 2y = 14 Multiply (2) by 2
(3) -4x - 4y = 28 Add (1) and (3)
2y = -18 Divide each side by 2
y = -9 Substitute into (2)
-2x – 2(-9) = 14
-2x + 18 = 14 Subtract 18 from each side
-2x = -4 Divide each side by -2
x = 2
=====
Check:
(1) 4×2 + 6(-9) = -46
8 – 54 = -46
-46 = -46
(2) -2×2 – 2(-9) = 14
-4 + 18 = 14
14 = 14
