Solve for x, y, z
x=1
y=2
z=3
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x=-y-z+6
Solve x+y+z=6 for x.
2\left(-y-z+6\right)+3y+z=11 -3\left(-y-z+6\right)+y+z=2
Substitute -y-z+6 for x in the second and third equation.
y=z-1 z=5-y
Solve these equations for y and z respectively.
z=5-\left(z-1\right)
Substitute z-1 for y in the equation z=5-y.
z=3
Solve z=5-\left(z-1\right) for z.
y=3-1
Substitute 3 for z in the equation y=z-1.
y=2
Calculate y from y=3-1.
x=-2-3+6
Substitute 2 for y and 3 for z in the equation x=-y-z+6.
x=1
Calculate x from x=-2-3+6.
x=1 y=2 z=3
The system is now solved.
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