Solve for x, y, z
x=25
y=25
z=10
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x=-y-z+60
Solve x+y+z=60 for x.
-y-z+60+y=50 -y-z+60-y=0
Substitute -y-z+60 for x in the second and third equation.
z=10 y=-\frac{1}{2}z+30
Solve these equations for z and y respectively.
y=-\frac{1}{2}\times 10+30
Substitute 10 for z in the equation y=-\frac{1}{2}z+30.
y=25
Calculate y from y=-\frac{1}{2}\times 10+30.
x=-25-10+60
Substitute 10 for z and 25 for y in the equation x=-y-z+60.
x=25
Calculate x from x=-25-10+60.
x=25 y=25 z=10
The system is now solved.
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