Solve for x, y, z
x=-8
y=18
z=-4
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x=-y+10
Solve x+y=10 for x.
-y+10+z=-12
Substitute -y+10 for x in the equation x+z=-12.
y=-z+14 z=y-22
Solve the second equation for y and the third equation for z.
z=-z+14-22
Substitute -z+14 for y in the equation z=y-22.
z=-4
Solve z=-z+14-22 for z.
y=-\left(-4\right)+14
Substitute -4 for z in the equation y=-z+14.
y=18
Calculate y from y=-\left(-4\right)+14.
x=-18+10
Substitute 18 for y in the equation x=-y+10.
x=-8
Calculate x from x=-18+10.
x=-8 y=18 z=-4
The system is now solved.
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