SOLUTION: x-y+5z=19 3x+z=4 x+2y+z=6

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Question 1131323: x-y+5z=19
3x+z=4
x+2y+z=6
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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x-y+5z=19
3x+z=4
x+2y+z=6
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E2 gives z=4-3x.

2*E1+E3 gives 3x%2B11z=44

Substitute for z in that result:
3x%2B11%284-3x%29=44
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3x%2B44-33x=44
-3x=0
highlight%28x=0%29
This is one of the variables solved.

Returning to E2,
3x%2Bz=4
z=4-3x
z=4-3%2A0
highlight%28z=4%29
Another variable now solved.

Use both of these values to find the last or y variable.