Solve for x, y, z
x=5
y=0
z=-2
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x=-y+z+7
Solve x+y-z=7 for x.
-y+z+7+y+2z=1 3\left(-y+z+7\right)+y-2z=19
Substitute -y+z+7 for x in the second and third equation.
z=-2 y=1+\frac{1}{2}z
Solve these equations for z and y respectively.
y=1+\frac{1}{2}\left(-2\right)
Substitute -2 for z in the equation y=1+\frac{1}{2}z.
y=0
Calculate y from y=1+\frac{1}{2}\left(-2\right).
x=-0-2+7
Substitute -2 for z and 0 for y in the equation x=-y+z+7.
x=5
Calculate x from x=-0-2+7.
x=5 y=0 z=-2
The system is now solved.
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