SOLUTION: can you help me solve this please thanks? x+y-z=0 2x-y+z=3 -x+5y-3z=2

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Question 990636: can you help me solve this please thanks?
x+y-z=0
2x-y+z=3
-x+5y-3z=2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

Since you didn't specify a method, here is Gauss-Jordan row reduction. 
 1    1    -1    0
 2   -1     1    3
-1    5    -3    2

 1    1    -1    0    -2R1 + R2 to R2
 0   -3     3    3
-1    5    -3    2

 1    1    -1    0    -R1 + R3 to R3
 0   -3     3    3
 0    6    -4    2

 1    1    -1    0    -R2/3 to R2
 0    1    -1   -1
 0    6    -4    2

 1    1    -1    0    -6R2 + R3 to R3
 0    1    -1   -1
 0    0     2    8

 1    1    -1    0    R3/2 to R3
 0    1    -1   -1
 0    0     1    4

 1    1     0    4    R3 + R1 to R1
 0    1    -1   -1
 0    0     1    4

 1    1     0    4    -R2 + R1 to R1
 0    1     0    3
 0    0     1    4

 1    0     0    1    R3 + R2 to R2
 0    1     0    3
 0    0     1    4

John

My calculator said it, I believe it, that settles it