Solve for x, y, z
x=6
y=7
z=8
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x=-y+13
Solve x+y=13 for x.
-y+13+z=14
Substitute -y+13 for x in the equation x+z=14.
y=-1+z z=-y+15
Solve the second equation for y and the third equation for z.
z=-\left(-1+z\right)+15
Substitute -1+z for y in the equation z=-y+15.
z=8
Solve z=-\left(-1+z\right)+15 for z.
y=-1+8
Substitute 8 for z in the equation y=-1+z.
y=7
Calculate y from y=-1+8.
x=-7+13
Substitute 7 for y in the equation x=-y+13.
x=6
Calculate x from x=-7+13.
x=6 y=7 z=8
The system is now solved.
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