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Solve for x, y, z
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x=-4y-2z
Solve x+4y+2z=0 for x.
3\left(-4y-2z\right)-2y+7z=0 2\left(-4y-2z\right)-y+4z=18
Substitute -4y-2z for x in the second and third equation.
z=14y y=-2
Solve these equations for z and y respectively.
z=14\left(-2\right)
Substitute -2 for y in the equation z=14y.
z=-28
Calculate z from z=14\left(-2\right).
x=-4\left(-2\right)-2\left(-28\right)
Substitute -28 for z and -2 for y in the equation x=-4y-2z.
x=64
Calculate x from x=-4\left(-2\right)-2\left(-28\right).
x=64 y=-2 z=-28
The system is now solved.