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Solve for x, y, z
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y=-x+a-b x+a+b=3 z=y
Reorder the equations.
y=-x+a-b
Calculate y from y=-x+a-b.
z=-x+a-b
Substitute -x+a-b for y in the equation z=y.
x=-a-b+3
Solve x+a+b=3 for x.
z=-\left(-a-b+3\right)+a-b
Substitute -a-b+3 for x in the equation z=-x+a-b.
z=2a-3
Calculate z from z=-\left(-a-b+3\right)+a-b.
y=-\left(-a-b+3\right)+a-b
Substitute -a-b+3 for x in the equation y=-x+a-b.
y=2a-3
Calculate y from y=-\left(-a-b+3\right)+a-b.
x=-a-b+3 y=2a-3 z=2a-3
The system is now solved.