Question
Solve the system of equations using elimination: minus, 9, x, plus, 2, y, equals, 2−9x+2y=2 and minus, 3, x, plus, y, equals, minus, 2−3x+y=−2
Answers
Answered by
GPT-5 mini
The system is
-9x + 2y = 2
-3x + y = -2
Multiply the second equation by -2 to eliminate y:
(-2)(-3x + y = -2) → 6x - 2y = 4
Add this to the first equation:
(-9x + 2y) + (6x - 2y) = 2 + 4
-3x = 6 → x = -2
Substitute x = -2 into -3x + y = -2:
-3(-2) + y = -2 → 6 + y = -2 → y = -8
Solution: (x, y) = (-2, -8).
-9x + 2y = 2
-3x + y = -2
Multiply the second equation by -2 to eliminate y:
(-2)(-3x + y = -2) → 6x - 2y = 4
Add this to the first equation:
(-9x + 2y) + (6x - 2y) = 2 + 4
-3x = 6 → x = -2
Substitute x = -2 into -3x + y = -2:
-3(-2) + y = -2 → 6 + y = -2 → y = -8
Solution: (x, y) = (-2, -8).
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