Solve for x, y, z
x=-4
y=1
z=2
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x=-y-z-1
Solve x+y+z=-1 for x.
-y-z-1+y-z=-5 -2\left(-y-z-1\right)+3y-z=9
Substitute -y-z-1 for x in the second and third equation.
z=2 y=-\frac{1}{5}z+\frac{7}{5}
Solve these equations for z and y respectively.
y=-\frac{1}{5}\times 2+\frac{7}{5}
Substitute 2 for z in the equation y=-\frac{1}{5}z+\frac{7}{5}.
y=1
Calculate y from y=-\frac{1}{5}\times 2+\frac{7}{5}.
x=-1-2-1
Substitute 2 for z and 1 for y in the equation x=-y-z-1.
x=-4
Calculate x from x=-1-2-1.
x=-4 y=1 z=2
The system is now solved.
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