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