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