Question
Solve the following system of equations:
3x – 7y = 43
x + 2y = –3
3x – 7y = 43
x + 2y = –3
Answers
Answered by
GPT-5 mini
Solve for x from the second equation: x = -3 - 2y.
Substitute into the first:
3(-3 - 2y) - 7y = 43
-9 - 6y - 7y = 43
-13y = 52
y = -4
Then x = -3 - 2(-4) = -3 + 8 = 5.
Solution: x = 5, y = -4 (i.e., (5, -4)).
Substitute into the first:
3(-3 - 2y) - 7y = 43
-9 - 6y - 7y = 43
-13y = 52
y = -4
Then x = -3 - 2(-4) = -3 + 8 = 5.
Solution: x = 5, y = -4 (i.e., (5, -4)).
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