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