Solve for x
\left\{\begin{matrix}x=\frac{z}{6\pi y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }y=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}y=\frac{z}{6\pi x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&z=0\text{ and }x=0\end{matrix}\right.
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6\pi xy=z
Swap sides so that all variable terms are on the left hand side.
6\pi yx=z
The equation is in standard form.
\frac{6\pi yx}{6\pi y}=\frac{z}{6\pi y}
Divide both sides by 6\pi y.
x=\frac{z}{6\pi y}
Dividing by 6\pi y undoes the multiplication by 6\pi y.
6\pi xy=z
Swap sides so that all variable terms are on the left hand side.
\frac{6\pi xy}{6\pi x}=\frac{z}{6\pi x}
Divide both sides by 6\pi x.
y=\frac{z}{6\pi x}
Dividing by 6\pi x undoes the multiplication by 6\pi x.
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