Solve for x, y, z
x=0
y=0
z=0
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z=-2x+3y
Solve 2x-3y+z=0 for z.
x+y-\left(-2x+3y\right)=0 4x+2y+3\left(-2x+3y\right)=0
Substitute -2x+3y for z in the second and third equation.
y=\frac{3}{2}x x=\frac{11}{2}y
Solve these equations for y and x respectively.
x=\frac{11}{2}\times \frac{3}{2}x
Substitute \frac{3}{2}x for y in the equation x=\frac{11}{2}y.
x=0
Solve x=\frac{11}{2}\times \frac{3}{2}x for x.
y=\frac{3}{2}\times 0
Substitute 0 for x in the equation y=\frac{3}{2}x.
y=0
Calculate y from y=\frac{3}{2}\times 0.
z=-2\times 0+3\times 0
Substitute 0 for y and 0 for x in the equation z=-2x+3y.
z=0
Calculate z from z=-2\times 0+3\times 0.
x=0 y=0 z=0
The system is now solved.
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