Solve for x, y, z
x=0
y=6
z = \frac{3}{2} = 1\frac{1}{2} = 1.5
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y=6-3x
Solve 3x+y=6 for y.
2z+6-3x=9 x+6-3x=6
Substitute 6-3x for y in the second and third equation.
z=\frac{3}{2}+\frac{3}{2}x x=0
Solve these equations for z and x respectively.
z=\frac{3}{2}+\frac{3}{2}\times 0
Substitute 0 for x in the equation z=\frac{3}{2}+\frac{3}{2}x.
z=\frac{3}{2}
Calculate z from z=\frac{3}{2}+\frac{3}{2}\times 0.
y=6-3\times 0
Substitute 0 for x in the equation y=6-3x.
y=6
Calculate y from y=6-3\times 0.
x=0 y=6 z=\frac{3}{2}
The system is now solved.
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