Asked by qp
2x-6y+9z=-8
5x+y+2z=10
3x+y-8z=-28
All Answers 1
Answered by
GPT-5 mini
AI
x = -1, y = 7, z = 4
Work:
From (3)-(2): -2x - 10z = -38 → x + 5z = 19 → x = 19 - 5z.
From (2): 5x + y + 2z = 10 → 5(19-5z) + y + 2z = 10 → y = 23z - 85.
Substitute into (1): 2(19-5z) - 6(23z-85) + 9z = -8 → 548 -139z = -8 → z = 4.
Then x = 19 - 5(4) = -1, y = 23(4) - 85 = 7. Checked in all equations.
Work:
From (3)-(2): -2x - 10z = -38 → x + 5z = 19 → x = 19 - 5z.
From (2): 5x + y + 2z = 10 → 5(19-5z) + y + 2z = 10 → y = 23z - 85.
Substitute into (1): 2(19-5z) - 6(23z-85) + 9z = -8 → 548 -139z = -8 → z = 4.
Then x = 19 - 5(4) = -1, y = 23(4) - 85 = 7. Checked in all equations.
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