Solve for x, y, z
x=-2
y=3
z=-4
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x=-y+1
Solve x+y=1 for x.
z-y+1=-6
Substitute -y+1 for x in the equation z+x=-6.
y=-z-1 z=y-7
Solve the second equation for y and the third equation for z.
z=-z-1-7
Substitute -z-1 for y in the equation z=y-7.
z=-4
Solve z=-z-1-7 for z.
y=-\left(-4\right)-1
Substitute -4 for z in the equation y=-z-1.
y=3
Calculate y from y=-\left(-4\right)-1.
x=-3+1
Substitute 3 for y in the equation x=-y+1.
x=-2
Calculate x from x=-3+1.
x=-2 y=3 z=-4
The system is now solved.
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