SOLUTION: 2x+2x+2x=0 -2x+5x+2x=1 8x+2x+4x=-1 By Gaus Jardon Method

Algebra ->  College  -> Linear Algebra -> SOLUTION: 2x+2x+2x=0 -2x+5x+2x=1 8x+2x+4x=-1 By Gaus Jardon Method      Log On


   

Question 1077277: 2x+2x+2x=0
-2x+5x+2x=1
8x+2x+4x=-1

By Gaus Jardon Method
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you mean,
2x%2B2y%2B2z=0
-2x%2B5y%2B2z=1
8x%2B2y%2B4z=-1
R1+R2,
2x%2B2y%2B2z-2x%2B5y%2B2z=1
R3:7y%2B4z=1
.
.
4R2+R3,
-8x%2B20y%2B8z%2B8x%2B2y%2B4z=4-1
R4:22y%2B12z=-3
So then,
R4-3R3,
22y%2B12z-21y-12z=3-%283%29
y=0
Now that you now y work backwards to solve for x and z.