Solve for x, z, y
x=-3
y=5
z=1
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x=-z-2
Solve x+z=-2 for x.
y-\left(-z-2\right)=8
Substitute -z-2 for x in the equation y-x=8.
z=-y+6 y=z+4
Solve the second equation for z and the third equation for y.
y=-y+6+4
Substitute -y+6 for z in the equation y=z+4.
y=5
Solve y=-y+6+4 for y.
z=-5+6
Substitute 5 for y in the equation z=-y+6.
z=1
Calculate z from z=-5+6.
x=-1-2
Substitute 1 for z in the equation x=-z-2.
x=-3
Calculate x from x=-1-2.
x=-3 z=1 y=5
The system is now solved.
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