SOLUTION: Use the Gauss-Jordan method to solve each system equation. x = 1 - y 2x = z 2z = -2 - y

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Question 639518: Use the Gauss-Jordan method to solve each system equation.
x = 1 - y
2x = z
2z = -2 - y
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+1+-y
2x+=+z
2z+=+-2-y

x+%2By%2B0=+1
2x%2B0-z+=0
0%2By%2B2z+=-2

Add (-2 * row1) to row2
1|. 1|.. 0|..1|
0| -2| -1|.-2|
0|.1 |..2 |..-2
------------------------------
Divide row2 by -2
1|1|..0|1
0|1|1/2|1
0|1|..2|-2
------------------------------
Add (-1 * row2) to row3
1|1|...0|1
0|1|1/2|1
0|0|3/2|-3
-----------------------------
Divide row3 by 3/2
1|1|...0|1
0|1|1/2|1
0|0|..1|-2
----------------------------
Add (-1/2 * row3) to row2
1|1|0|-1
0|1|0|2
0|0|1|-2
solutions: x=-1, y=2, and z=-2