SOLUTION: Solve for unknown variables can you please show steps in detail 3x+3y=3 -3x-2z=-11 y+z=-1

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Question 1021464:
Solve for unknown variables
can you please show steps in detail
3x+3y=3 -3x-2z=-11 y+z=-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B3y=3
1.x%2By=1
.
.
-3x-2z=-11
2.3x%2B2z=11
.
.
3.y%2Bz=-1
From eq. 3,
y=-1-z
Substitute into eq. 1,
x-1-z=1
4.x-z=2
Multiply eq. 4 by 2 and add to eq. 2 to eliminate z.
3x%2B2z%2B2x-2z=11%2B4
5x=15
x=3
Then from eq. 4,
3-z=2
z=1
and finally from eq. 3,
y%2B1=-1
y=-2