Solve for x, y, z
x=-14
y=12
z=-6
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x-3z=4 2x+4y+2z=8 2x+3y+z=2
Reorder the equations.
x=3z+4
Solve x-3z=4 for x.
2\left(3z+4\right)+4y+2z=8 2\left(3z+4\right)+3y+z=2
Substitute 3z+4 for x in the second and third equation.
y=-2z z=-\frac{6}{7}-\frac{3}{7}y
Solve these equations for y and z respectively.
z=-\frac{6}{7}-\frac{3}{7}\left(-2\right)z
Substitute -2z for y in the equation z=-\frac{6}{7}-\frac{3}{7}y.
z=-6
Solve z=-\frac{6}{7}-\frac{3}{7}\left(-2\right)z for z.
y=-2\left(-6\right)
Substitute -6 for z in the equation y=-2z.
y=12
Calculate y from y=-2\left(-6\right).
x=3\left(-6\right)+4
Substitute -6 for z in the equation x=3z+4.
x=-14
Calculate x from x=3\left(-6\right)+4.
x=-14 y=12 z=-6
The system is now solved.
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