Solve for x, y, z
x=0
y=3
z=4
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x=4-4y+2z
Solve -x-4y+2z=-4 for x.
3\left(4-4y+2z\right)+2y-z=2 2\left(4-4y+2z\right)+3y-2z=1
Substitute 4-4y+2z for x in the second and third equation.
y=1+\frac{1}{2}z z=-\frac{7}{2}+\frac{5}{2}y
Solve these equations for y and z respectively.
z=-\frac{7}{2}+\frac{5}{2}\left(1+\frac{1}{2}z\right)
Substitute 1+\frac{1}{2}z for y in the equation z=-\frac{7}{2}+\frac{5}{2}y.
z=4
Solve z=-\frac{7}{2}+\frac{5}{2}\left(1+\frac{1}{2}z\right) for z.
y=1+\frac{1}{2}\times 4
Substitute 4 for z in the equation y=1+\frac{1}{2}z.
y=3
Calculate y from y=1+\frac{1}{2}\times 4.
x=4-4\times 3+2\times 4
Substitute 3 for y and 4 for z in the equation x=4-4y+2z.
x=0
Calculate x from x=4-4\times 3+2\times 4.
x=0 y=3 z=4
The system is now solved.
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