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

Algebra.Com
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)   (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

RELATED QUESTIONS

PLEASE HELP!!!!!!!!!!!!!!!!!!! SOLVE FOR X 2x + y + z = 0 3x - y + z = 3 7x -... (answered by KMST,hheuler)
Please help me to solve this equation: x+y+z=2 -x+2y+3z=2 2x-3y-z=1... (answered by ankor@dixie-net.com)
please help me solve for x,y,z 2x+2y-z=8 2x+y+3z=0 x-2y+2z=-2 (answered by Fombitz)
The last three problems of my HW are stumping me and I've been working on them for 2... (answered by mszlmb)
Please help... I tried to solve this, but no result. I eliminated z in 1&2,and 2&3, but... (answered by htmentor,ikleyn)
Please help me solve this equation: x+2y+3z=6 y+2z=0 z=2 can you do this by... (answered by Mathtut)
Can you help me solve this 3x3 equation: 2x+y-z=3 2x+2y-z=-1... (answered by richwmiller,stanbon)
Can you please help me with this. The directions say solve each system algebraically. (answered by anantha)
does anyone know how to solve x,y,z equations for x and explain?! 2x + y + z = 0... (answered by jsmallt9)