Solve for x, y, z
x=1
y=2
z=3
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x=-y+z
Solve x+y-z=0 for x.
-y+z-y+z=2 2\left(-y+z\right)+y-4z=-8
Substitute -y+z for x in the second and third equation.
y=-1+z z=-\frac{1}{2}y+4
Solve these equations for y and z respectively.
z=-\frac{1}{2}\left(-1+z\right)+4
Substitute -1+z for y in the equation z=-\frac{1}{2}y+4.
z=3
Solve z=-\frac{1}{2}\left(-1+z\right)+4 for z.
y=-1+3
Substitute 3 for z in the equation y=-1+z.
y=2
Calculate y from y=-1+3.
x=-2+3
Substitute 2 for y and 3 for z in the equation x=-y+z.
x=1
Calculate x from x=-2+3.
x=1 y=2 z=3
The system is now solved.
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