Solve for x, y, z
x=2
y=1
z=1
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x=-y-z+4
Solve x+y+z=4 for x.
-y-z+4-y-z=0 -y-z+4+y-z=2
Substitute -y-z+4 for x in the second and third equation.
y=2-z z=1
Solve these equations for y and z respectively.
y=2-1
Substitute 1 for z in the equation y=2-z.
y=1
Calculate y from y=2-1.
x=-1-1+4
Substitute 1 for y and 1 for z in the equation x=-y-z+4.
x=2
Calculate x from x=-1-1+4.
x=2 y=1 z=1
The system is now solved.
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