Solve for x, y, z
x=0
y=0
z=0
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x=-y-3z
Solve x+y+3z=0 for x.
2\left(-y-3z\right)+3y+6z=0 -y-3z+7y+z=0
Substitute -y-3z for x in the second and third equation.
y=0 z=3y
Solve these equations for y and z respectively.
z=3\times 0
Substitute 0 for y in the equation z=3y.
z=0
Calculate z from z=3\times 0.
x=-0-3\times 0
Substitute 0 for y and 0 for z in the equation x=-y-3z.
x=0
Calculate x from x=-0-3\times 0.
x=0 y=0 z=0
The system is now solved.
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