Solve for x, y, z
x=2
y=1
z=6
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x=-y+3
Solve x+y=3 for x.
-y+3+z=8
Substitute -y+3 for x in the equation x+z=8.
y=-z+7 z=y+5
Solve the second equation for y and the third equation for z.
z=-z+7+5
Substitute -z+7 for y in the equation z=y+5.
z=6
Solve z=-z+7+5 for z.
y=-6+7
Substitute 6 for z in the equation y=-z+7.
y=1
Calculate y from y=-6+7.
x=-1+3
Substitute 1 for y in the equation x=-y+3.
x=2
Calculate x from x=-1+3.
x=2 y=1 z=6
The system is now solved.
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