Solve for x, y, z
x=8
y=3
z=10
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x=-y+11
Solve x+y=11 for x.
-y+11+z=18
Substitute -y+11 for x in the equation x+z=18.
y=-z+13 z=y+7
Solve the second equation for y and the third equation for z.
z=-z+13+7
Substitute -z+13 for y in the equation z=y+7.
z=10
Solve z=-z+13+7 for z.
y=-10+13
Substitute 10 for z in the equation y=-z+13.
y=3
Calculate y from y=-10+13.
x=-3+11
Substitute 3 for y in the equation x=-y+11.
x=8
Calculate x from x=-3+11.
x=8 y=3 z=10
The system is now solved.
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