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