SOLUTION: need help!please solve each system 3x+y+z=0 2x-y+z=0 2x+y+z=0

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Question 339823: need help!please solve each system
3x+y+z=0
2x-y+z=0
2x+y+z=0
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x%2By%2Bz=0
2.2x-y%2Bz=0
3.2x%2By%2Bz=0
Add eq. 1 and eq. 2,
3x%2By%2Bz%2B2x-y%2Bz=0%2B0
4.5x%2B2z=0
.
.
.
Add eq. 2 and eq. 3,
2x-y%2Bz=0
2x%2By%2Bz=0
5.4x%2B2z=0
Subtract eq. 4 from eq. 3,
5x%2B2z-4x-2z=0-0
x=0
Then work backwards,
5%280%29%2B2z=0
2z=0
z=0
And finally,
2%280%29%2By%2B0=0
y=0
.
.
.
highlight%28x=y=z=0%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x+y+z=0
2x-y+z=0
2x+y+z=0
---------
I used a matrix method to get:
x = 0
y = 0
z = 0
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Cheers,
Stan H.