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

Question 224277: x+y+z=-2
-3x-5y-z=6
2y-3z=2
How do you solve this?
Answer by Alan3354(69443) (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?
-----------
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

RELATED QUESTIONS
How do you solve for x , y , z x+5y+5z=-10 x+y+z=2... (answered by solver91311)

solve system using matrices x-5y+3z=9, 2x-y+4 z=6,... (answered by Fombitz)

How do you solve this problem? x+y+z-w=2 3x+y-z+w=8 x-5y+2z+w=1... (answered by Edwin McCravy)

solve the system x+y+z=-1 x-y+3z=-17 2x+y+z=-2 Solve the system x-y+2z=7... (answered by solver91311)

x-2y+z=2 2x-y-z=1 how do you solve this kind of... (answered by stanbon)

solve Linear sestems when w=1 w+2x+2y+z=-2 w+3x-2y-z=-6 -2w-x+3y+3z=6 w+4x+y+2z=-14 (answered by Fombitz)

How would you solve the 4x4 w+x+y+z=2, 2w-x-y+2z=7, 2w+3x+2y-z=-2,... (answered by Fombitz)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)

Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)