SOLUTION: Find the solution set. Show all work 2x-y+4z=33 5x+3y-2z=-62 3x-4y+z=42

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Question 366380: Find the solution set. Show all work
2x-y+4z=33
5x+3y-2z=-62
3x-4y+z=42
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.2x-y%2B4z=33
2.5x%2B3y-2z=-62
3.3x-4y%2Bz=42
Multiply eq. 2 by 2 and add to eq. 1,
2x-y%2B4z%2B10x%2B6y-4z=33-124
4.12x%2B5y=-91
Multiply eq. 3 by 2 and add to eq. 2,
5x%2B3y-2z%2B6x-8y%2B2z=-62%2B84
5.11x-5y=22
Add eq. 4 and eq 5,
12x%2B5y%2B11x-5y=-91%2B22
23x=-69
highlight%28+x=-3%29
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Then from eq. 4,
-36%2B5y=-91
5y=-55
highlight%28+y=-11%29
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Then from eq. 1,
2%28-3%29-%28-11%29%2B4z=33
-6%2B11%2B4z=33
4z=28
highlight%28+z=7%29