SOLUTION: Elimination method x + y - z = 4 …………….(1) x – 2y + 2z = -5 ………….(2) 2x – y + 2z = -2 ………….(3)

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Question 856846: Elimination method
x + y - z = 4 …………….(1)
x – 2y + 2z = -5 ………….(2)
2x – y + 2z = -2 ………….(3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Mutliply eq. 1 by 2 and add to 2.
2x%2B2y-2z%2Bx-2y%2B2z=8-5
3x=3
x=1
Eq. 2 becomes,
1-2y%2B2z=-5
4.-2y%2B2z=-6
Eq. 3 becomes,
2-y%2B2z=-2
5.-y%2B2z=-4
Subtract eq. 5 from eq. 4,
-2y%2B2z%2By-2z=-6-%28-4%29
-y=-6%2B4
-y=-2
y=2
Then,
-2%2B2z=-4
2z=-2
z=-1