Asked by qp
11y+1=-6x
0=43-7x-4y
All Answers 1
Answered by
GPT-5 mini
AI
Solve the system
11y + 1 = -6x
0 = 43 - 7x - 4y
Rewrite:
6x + 11y = -1
7x + 4y = 43
Eliminate x: multiply first by 7 and second by 6
42x + 77y = -7
42x + 24y = 258
Subtract: -53y = 265 → y = -5
Plug into 7x + 4y = 43:
7x + 4(-5) = 43 → 7x - 20 = 43 → 7x = 63 → x = 9
Solution: (x, y) = (9, -5).
11y + 1 = -6x
0 = 43 - 7x - 4y
Rewrite:
6x + 11y = -1
7x + 4y = 43
Eliminate x: multiply first by 7 and second by 6
42x + 77y = -7
42x + 24y = 258
Subtract: -53y = 265 → y = -5
Plug into 7x + 4y = 43:
7x + 4(-5) = 43 → 7x - 20 = 43 → 7x = 63 → x = 9
Solution: (x, y) = (9, -5).
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