Solve for x, y, z
x=1
y=3
z=-2
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x=y-z-4
Solve x-y+z=-4 for x.
2\left(y-z-4\right)-3y+4z=-15 5\left(y-z-4\right)+y-2z=12
Substitute y-z-4 for x in the second and third equation.
y=2z+7 z=-\frac{32}{7}+\frac{6}{7}y
Solve these equations for y and z respectively.
z=-\frac{32}{7}+\frac{6}{7}\left(2z+7\right)
Substitute 2z+7 for y in the equation z=-\frac{32}{7}+\frac{6}{7}y.
z=-2
Solve z=-\frac{32}{7}+\frac{6}{7}\left(2z+7\right) for z.
y=2\left(-2\right)+7
Substitute -2 for z in the equation y=2z+7.
y=3
Calculate y from y=2\left(-2\right)+7.
x=3-\left(-2\right)-4
Substitute 3 for y and -2 for z in the equation x=y-z-4.
x=1
Calculate x from x=3-\left(-2\right)-4.
x=1 y=3 z=-2
The system is now solved.
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