Solve for x, y, z
x=3
y=-2
z=1
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x=-2y-z
Solve x+2y+z=0 for x.
3\left(-2y-z\right)+y-2z=5 2\left(-2y-z\right)-3y-3z=9
Substitute -2y-z for x in the second and third equation.
y=-1-z z=-\frac{7}{5}y-\frac{9}{5}
Solve these equations for y and z respectively.
z=-\frac{7}{5}\left(-1-z\right)-\frac{9}{5}
Substitute -1-z for y in the equation z=-\frac{7}{5}y-\frac{9}{5}.
z=1
Solve z=-\frac{7}{5}\left(-1-z\right)-\frac{9}{5} for z.
y=-1-1
Substitute 1 for z in the equation y=-1-z.
y=-2
Calculate y from y=-1-1.
x=-2\left(-2\right)-1
Substitute -2 for y and 1 for z in the equation x=-2y-z.
x=3
Calculate x from x=-2\left(-2\right)-1.
x=3 y=-2 z=1
The system is now solved.
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