SOLUTION: x+y+z=-2 -3x-5y-z=6 2y-3z=2 How do you solve this?

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Question 224277: x+y+z=-2
-3x-5y-z=6
2y-3z=2
How do you solve this?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=-2
-3x-5y-z=6
2y-3z=2
How do you solve this?
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There are several ways to do it, but since the 3rd equation has no x, I'd use elimination and substitution.
x+y+z=-2 times 3 --> 3x+3y+3z = -6
-3x-5y-z=6
3x+3y+3z=-6
------------- Add
-2y + 2z = 0
+2y - 3z = 2 3rd eqn
------------ Add
-z = 2
z = -2
-------
y = -2
-------
x = 2