Solve for x, y, z
x=-2
y=1
z=5
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x=y-z+2
Solve x-y+z=2 for x.
y-z+2+y+z=4 2\left(y-z+2\right)+2y-2=-4
Substitute y-z+2 for x in the second and third equation.
y=1 z=3+2y
Solve these equations for y and z respectively.
z=3+2\times 1
Substitute 1 for y in the equation z=3+2y.
z=5
Calculate z from z=3+2\times 1.
x=1-5+2
Substitute 1 for y and 5 for z in the equation x=y-z+2.
x=-2
Calculate x from x=1-5+2.
x=-2 y=1 z=5
The system is now solved.
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