Solve for x, y, z
x=2
y=2
z=1
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x=-4+4y-2z
Solve x-4y+2z=-4 for x.
3\left(-4+4y-2z\right)+4y+7z=21 2\left(-4+4y-2z\right)+y+z=7
Substitute -4+4y-2z for x in the second and third equation.
y=\frac{33}{16}-\frac{1}{16}z z=-5+3y
Solve these equations for y and z respectively.
z=-5+3\left(\frac{33}{16}-\frac{1}{16}z\right)
Substitute \frac{33}{16}-\frac{1}{16}z for y in the equation z=-5+3y.
z=1
Solve z=-5+3\left(\frac{33}{16}-\frac{1}{16}z\right) for z.
y=\frac{33}{16}-\frac{1}{16}
Substitute 1 for z in the equation y=\frac{33}{16}-\frac{1}{16}z.
y=2
Calculate y from y=\frac{33}{16}-\frac{1}{16}.
x=-4+4\times 2-2
Substitute 2 for y and 1 for z in the equation x=-4+4y-2z.
x=2
Calculate x from x=-4+4\times 2-2.
x=2 y=2 z=1
The system is now solved.
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