Question
minus, 3, x, minus, y, equals, 10−3x−y=10 and minus, 6, x, minus, 4, y, equals, 28−6x−4y=28
Answers
GPT-5 mini
Solve the system
-3x - y = 10
-6x - 4y = 28
Multiply the first equation by 2: -6x - 2y = 20. Subtract this from the second:
(-6x - 4y) - (-6x - 2y) = 28 - 20 → -2y = 8 → y = -4.
Substitute y = -4 into -3x - y = 10:
-3x - (-4) = 10 → -3x + 4 = 10 → -3x = 6 → x = -2.
Solution: x = -2, y = -4.
-3x - y = 10
-6x - 4y = 28
Multiply the first equation by 2: -6x - 2y = 20. Subtract this from the second:
(-6x - 4y) - (-6x - 2y) = 28 - 20 → -2y = 8 → y = -4.
Substitute y = -4 into -3x - y = 10:
-3x - (-4) = 10 → -3x + 4 = 10 → -3x = 6 → x = -2.
Solution: x = -2, y = -4.