Solve for x, y, z
x=3
y=-3
z=-1
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x=-y+z+1
Solve x+y-z=1 for x.
2\left(-y+z+1\right)+2y=0
Substitute -y+z+1 for x in the equation 2x+2y=0.
z=-1 y=z-2
Solve the second equation for z and the third equation for y.
y=-1-2
Substitute -1 for z in the equation y=z-2.
y=-3
Calculate y from y=-1-2.
x=-\left(-3\right)-1+1
Substitute -1 for z and -3 for y in the equation x=-y+z+1.
x=3
Calculate x from x=-\left(-3\right)-1+1.
x=3 y=-3 z=-1
The system is now solved.
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