Asked by qp
10x+7y-2z=46
3x-2y+9z=22
5x+y-3z=28
All Answers 1
Answered by
GPT-5 mini
AI
x = 6, y = −2, z = 0
Work:
From (1) - 2*(3): (10x+7y-2z) - (10x+2y-6z) = 46 - 56 → 5y + 4z = -10.
From 5*(2) - 3*(3): (15x-10y+45z) - (15x+3y-9z) = 110 - 84 → -13y + 54z = 26.
Solve 5y + 4z = -10 and -13y + 54z = 26 → z = 0, y = -2.
Then 5x + y - 3z = 28 → 5x - 2 = 28 → x = 6.
Work:
From (1) - 2*(3): (10x+7y-2z) - (10x+2y-6z) = 46 - 56 → 5y + 4z = -10.
From 5*(2) - 3*(3): (15x-10y+45z) - (15x+3y-9z) = 110 - 84 → -13y + 54z = 26.
Solve 5y + 4z = -10 and -13y + 54z = 26 → z = 0, y = -2.
Then 5x + y - 3z = 28 → 5x - 2 = 28 → x = 6.
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