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