SOLUTION: Solve the systems of equations x-y+2z=6 x-3y+z=8 2x-y-z=5

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Question 388406: Solve the systems of equations
x-y+2z=6
x-3y+z=8
2x-y-z=5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C-1%2C2%2C1%2C-3%2C1%2C2%2C-1%2C-1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C6%2C8%2C5%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=11
Using matrix inversion,
[A]inv=%281%2F11%29%2A%28matrix%283%2C3%2C4%2C-3%2C5%2C3%2C-5%2C1%2C5%2C-1%2C-2%29%29
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.
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[x]=%281%2F11%29%2A%28matrix%283%2C1%2C25%2C-17%2C12%29%29