SOLUTION: 3x+2y-z=8 -3x+4y+5z=-14 x-3y+4z=-14 Can you help me solve that

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Question 312366: 3x+2y-z=8
-3x+4y+5z=-14
x-3y+4z=-14
Can you help me solve that
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Are matrix methods OK?
I found the inverse of the coefficient matrix and multiplied it by the right hand side.
.
.
[A][x]=[b]
[A]inv[A][x]=[A]inv[b]
[x]=[A]inv[b]
.
.
where
[A]=%28matrix%283%2C3%2C3%2C2%2C-1%2C-3%2C4%2C5%2C1%2C-3%2C4%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C8%2C-14%2C-14%29%29
to get
[x]=%28matrix%283%2C1%2C1%2C1%2C-3%29%29