Solve for x, y, z
x=0
y=0
z=0
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x=-y-z
Solve x+y+z=0 for x.
-10\left(-y-z\right)=10z
Substitute -y-z for x in the equation -10x=10z.
y=0 z=\frac{1}{2}y
Solve the second equation for y and the third equation for z.
z=\frac{1}{2}\times 0
Substitute 0 for y in the equation z=\frac{1}{2}y.
z=0
Calculate z from z=\frac{1}{2}\times 0.
x=-0-0
Substitute 0 for y and 0 for z in the equation x=-y-z.
x=0
Calculate x from x=-0-0.
x=0 y=0 z=0
The system is now solved.
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