Solve for x_6 (complex solution)
\left\{\begin{matrix}x_{6}=-\frac{3x-20y}{z}\text{, }&z\neq 0\\x_{6}\in \mathrm{C}\text{, }&x=\frac{20y}{3}\text{ and }z=0\end{matrix}\right.
Solve for x
x=\frac{20y-x_{6}z}{3}
Solve for x_6
\left\{\begin{matrix}x_{6}=-\frac{3x-20y}{z}\text{, }&z\neq 0\\x_{6}\in \mathrm{R}\text{, }&x=\frac{20y}{3}\text{ and }z=0\end{matrix}\right.
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zx_{6}=20y-3x
Subtract 3x from both sides.
\frac{zx_{6}}{z}=\frac{20y-3x}{z}
Divide both sides by z.
x_{6}=\frac{20y-3x}{z}
Dividing by z undoes the multiplication by z.
3x=20y-zx_{6}
Subtract zx_{6} from both sides.
3x=20y-x_{6}z
The equation is in standard form.
\frac{3x}{3}=\frac{20y-x_{6}z}{3}
Divide both sides by 3.
x=\frac{20y-x_{6}z}{3}
Dividing by 3 undoes the multiplication by 3.
zx_{6}=20y-3x
Subtract 3x from both sides.
\frac{zx_{6}}{z}=\frac{20y-3x}{z}
Divide both sides by z.
x_{6}=\frac{20y-3x}{z}
Dividing by z undoes the multiplication by z.
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