Solve for x, y, z
x=-2
y=6
z=0
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x=-y+4
Solve x+y=4 for x.
-y+4+z=-2
Substitute -y+4 for x in the equation x+z=-2.
y=-z+6 z=-6+y
Solve the second equation for y and the third equation for z.
z=-6-z+6
Substitute -z+6 for y in the equation z=-6+y.
z=0
Solve z=-6-z+6 for z.
y=-0+6
Substitute 0 for z in the equation y=-z+6.
y=6
Calculate y from y=-0+6.
x=-6+4
Substitute 6 for y in the equation x=-y+4.
x=-2
Calculate x from x=-6+4.
x=-2 y=6 z=0
The system is now solved.
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