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