Solve for x, y, z
x=-2
y=-3
z=4
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x=6y+3z+4
Solve x-6y-3z=4 for x.
-2\left(6y+3z+4\right)-3z=-8 -2\left(6y+3z+4\right)+2y-3z=-14
Substitute 6y+3z+4 for x in the second and third equation.
y=-\frac{3}{4}z z=\frac{2}{3}-\frac{10}{9}y
Solve these equations for y and z respectively.
z=\frac{2}{3}-\frac{10}{9}\left(-\frac{3}{4}\right)z
Substitute -\frac{3}{4}z for y in the equation z=\frac{2}{3}-\frac{10}{9}y.
z=4
Solve z=\frac{2}{3}-\frac{10}{9}\left(-\frac{3}{4}\right)z for z.
y=-\frac{3}{4}\times 4
Substitute 4 for z in the equation y=-\frac{3}{4}z.
y=-3
Calculate y from y=-\frac{3}{4}\times 4.
x=6\left(-3\right)+3\times 4+4
Substitute -3 for y and 4 for z in the equation x=6y+3z+4.
x=-2
Calculate x from x=6\left(-3\right)+3\times 4+4.
x=-2 y=-3 z=4
The system is now solved.
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