SOLUTION: solve the linear system using Gaussian elimination method : 2x-3y-6z=-3 , x+2y-2z=1 3x+y+z=5.

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Question 854878: solve the linear system using Gaussian elimination method :
2x-3y-6z=-3 ,
x+2y-2z=1
3x+y+z=5.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
The most efficient method I know is a modification of Gauss:
The procedure is long so I will summarize:

r1 <-> r2
-2r1+r2 -> r2
-3r1+r3 -> r3
-5r2+r3 -> r3
yields:


Next using back substitution we arrive at

x=9/17
y=31/17
z=27/17