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Solve for x, y, z
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z=-4x
Solve x+y=5x+y+z for z.
y-4x=8 -4x+x=12
Substitute -4x for z in the second and third equation.
y=8+4x x=-4
Solve these equations for y and x respectively.
y=8+4\left(-4\right)
Substitute -4 for x in the equation y=8+4x.
y=-8
Calculate y from y=8+4\left(-4\right).
z=-4\left(-4\right)
Substitute -4 for x in the equation z=-4x.
z=16
Calculate z from z=-4\left(-4\right).
x=-4 y=-8 z=16
The system is now solved.