Solve for x, y, z
x=4
y=-4
z=-1
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x=-y
Solve x+y=0 for x.
2\left(-1\right)y+3y+4z=-8
Substitute -y for x in the equation 2x+3y+4z=-8.
y=-5z-9 z=-\frac{1}{4}y-2
Solve the second equation for y and the third equation for z.
z=-\frac{1}{4}\left(-5z-9\right)-2
Substitute -5z-9 for y in the equation z=-\frac{1}{4}y-2.
z=-1
Solve z=-\frac{1}{4}\left(-5z-9\right)-2 for z.
y=-5\left(-1\right)-9
Substitute -1 for z in the equation y=-5z-9.
y=-4
Calculate y from y=-5\left(-1\right)-9.
x=-\left(-4\right)
Substitute -4 for y in the equation x=-y.
x=4
Calculate x from x=-\left(-4\right).
x=4 y=-4 z=-1
The system is now solved.
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