Solve for a
\left\{\begin{matrix}a=\frac{y}{bx}\text{, }&x\neq 0\text{ and }b\neq 0\\a\in \mathrm{R}\text{, }&\left(x=0\text{ or }b=0\right)\text{ and }y=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=\frac{y}{ax}\text{, }&x\neq 0\text{ and }a\neq 0\\b\in \mathrm{R}\text{, }&\left(x=0\text{ or }a=0\right)\text{ and }y=0\end{matrix}\right.
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abx=y
Swap sides so that all variable terms are on the left hand side.
bxa=y
The equation is in standard form.
\frac{bxa}{bx}=\frac{y}{bx}
Divide both sides by bx.
a=\frac{y}{bx}
Dividing by bx undoes the multiplication by bx.
abx=y
Swap sides so that all variable terms are on the left hand side.
axb=y
The equation is in standard form.
\frac{axb}{ax}=\frac{y}{ax}
Divide both sides by ax.
b=\frac{y}{ax}
Dividing by ax undoes the multiplication by ax.
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