SOLUTION: Please help me solve this equation {{{x+2y-z=4}}} {{{2x-y+3z=8}}} {{{-2x+3y-2z=10}}}

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Question 56963: Please help me solve this equation x%2B2y-z=4
2x-y%2B3z=8
-2x%2B3y-2z=10

Answer by ankor@dixie-net.com(12701) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B2y-z=4
2x-y%2B3z=8
-2x%2B3y-2z=10
----------------- add and eliminate z
x + 4y + 0z = 22
:
Mult eq 1 by -2 and add to equation 3
-2x - 4y + 2z = -8
-2x + 3y - 2z = 10
--------------------add
-4x + 1y + 0z = 2
:
Using the two equations with x & y
x + 4y = 22
-4x + y = 2 mult this equation by 4
:
x + 4y = 22
-16x + 4y = 8
-----------------
-15x + 0y = 30
-15x = 30
x = 30/-15
x = -2
:
Subsitute -2 for x in x + 4y = 22
-2 + 4y = 22
4y = 22 + 2
y = 24/4
y = 6
:
I'll let you find out what z is, check your solutions in one of the original equations.