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Solve for x, y, z
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z=-2 6x+y+4z=-28 6x+3y-3z=-18
Reorder the equations.
6x+y+4\left(-2\right)=-28 6x+3y-3\left(-2\right)=-18
Substitute -2 for z in the second and third equation.
y=-20-6x x=-4-\frac{1}{2}y
Solve these equations for y and x respectively.
x=-4-\frac{1}{2}\left(-20-6x\right)
Substitute -20-6x for y in the equation x=-4-\frac{1}{2}y.
x=-3
Solve x=-4-\frac{1}{2}\left(-20-6x\right) for x.
y=-20-6\left(-3\right)
Substitute -3 for x in the equation y=-20-6x.
y=-2
Calculate y from y=-20-6\left(-3\right).
x=-3 y=-2 z=-2
The system is now solved.