Solve for z, x, y
x=0
y=0
z=0
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x-2y+3y=0 3x-6y+12z=0 4z=0
Reorder the equations.
x=-y
Solve x-2y+3y=0 for x.
3\left(-1\right)y-6y+12z=0
Substitute -y for x in the equation 3x-6y+12z=0.
y=\frac{4}{3}z z=0
Solve the second equation for y and the third equation for z.
y=\frac{4}{3}\times 0
Substitute 0 for z in the equation y=\frac{4}{3}z.
y=0
Calculate y from y=\frac{4}{3}\times 0.
x=-0
Substitute 0 for y in the equation x=-y.
x=0
Calculate x from x=-0.
z=0 x=0 y=0
The system is now solved.
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