Solve for x, y, z
x=1
y=5
z=9
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x=-y+6
Solve x+y=6 for x.
-y+6+z=10
Substitute -y+6 for x in the equation x+z=10.
y=-4+z z=-y+14
Solve the second equation for y and the third equation for z.
z=-\left(-4+z\right)+14
Substitute -4+z for y in the equation z=-y+14.
z=9
Solve z=-\left(-4+z\right)+14 for z.
y=-4+9
Substitute 9 for z in the equation y=-4+z.
y=5
Calculate y from y=-4+9.
x=-5+6
Substitute 5 for y in the equation x=-y+6.
x=1
Calculate x from x=-5+6.
x=1 y=5 z=9
The system is now solved.
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