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Solve for x, y, w
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x=-2y-w+5
Solve x+2y+w=5 for x.
-2y-w+5+y+w=3
Substitute -2y-w+5 for x in the equation x+y+w=3.
y=2 w=0
Solve the second equation for y and the third equation for w.
x=-2\times 2-0+5
Substitute 2 for y and 0 for w in the equation x=-2y-w+5.
x=1
Calculate x from x=-2\times 2-0+5.
x=1 y=2 w=0
The system is now solved.