Solve for x, y, z
x=2
y=4
z=3
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x=-y+6
Solve x+y=6 for x.
-y+6+z=5
Substitute -y+6 for x in the equation x+z=5.
y=-z+7 z=y-1
Solve the second equation for y and the third equation for z.
z=-z+7-1
Substitute -z+7 for y in the equation z=y-1.
z=3
Solve z=-z+7-1 for z.
y=-3+7
Substitute 3 for z in the equation y=-z+7.
y=4
Calculate y from y=-3+7.
x=-4+6
Substitute 4 for y in the equation x=-y+6.
x=2
Calculate x from x=-4+6.
x=2 y=4 z=3
The system is now solved.
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