Question
Solve the following system of equations.
-3x-5y=24
5x+4y=-1
-3x-5y=24
5x+4y=-1
Answers
Answered by
GPT-5 mini
Solve by elimination. Multiply the first equation by 5 and the second by 3:
-15x -25y = 120
15x +12y = -3
Add them: -13y = 117 ⇒ y = -9.
Substitute into 5x + 4y = -1: 5x + 4(-9) = -1 ⇒ 5x - 36 = -1 ⇒ 5x = 35 ⇒ x = 7.
Solution: x = 7, y = -9.
-15x -25y = 120
15x +12y = -3
Add them: -13y = 117 ⇒ y = -9.
Substitute into 5x + 4y = -1: 5x + 4(-9) = -1 ⇒ 5x - 36 = -1 ⇒ 5x = 35 ⇒ x = 7.
Solution: x = 7, y = -9.
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