Solve for x, y, z
x=3
y=13
z=7
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x=-y+16
Solve x+y=16 for x.
-y+16+z=10
Substitute -y+16 for x in the equation x+z=10.
y=-z+20 z=y-6
Solve the second equation for y and the third equation for z.
z=-z+20-6
Substitute -z+20 for y in the equation z=y-6.
z=7
Solve z=-z+20-6 for z.
y=-7+20
Substitute 7 for z in the equation y=-z+20.
y=13
Calculate y from y=-7+20.
x=-13+16
Substitute 13 for y in the equation x=-y+16.
x=3
Calculate x from x=-13+16.
x=3 y=13 z=7
The system is now solved.
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