SOLUTION: 2x-3y+z=5 x +3y+8z =22 3x-y +2z = 12 please help thank you!

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Question 178001: 2x-3y+z=5
x +3y+8z =22
3x-y +2z = 12

please help thank you!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You didn't specify a method.
Matrix inversion is the fastest.
[A][x]=[B]
where
[A]=%28matrix%283%2C3%2C2%2C-3%2C1%2C1%2C3%2C8%2C3%2C-1%2C2%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[B]=%28matrix%283%2C1%2C5%2C22%2C12%29%29
Find the inverse matrix of A.
[A]inv=-%281%2F48%29%2A%28matrix%283%2C3%2C14%2C5%2C-27%2C22%2C1%2C-15%2C-10%2C-7%2C9%29%29
The solution is then the inverse matrix multiplied by B.
[x]={A]inv[B]
[x]=
[x]=%28matrix%283%2C1%2C3%2C1%2C2%29%29