Solve for A
\left\{\begin{matrix}A=-\frac{C-D}{B}\text{, }&B\neq 0\\A\in \mathrm{R}\text{, }&C=D\text{ and }B=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=-\frac{C-D}{A}\text{, }&A\neq 0\\B\in \mathrm{R}\text{, }&C=D\text{ and }A=0\end{matrix}\right.
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AB=D-C
Subtract C from both sides.
BA=D-C
The equation is in standard form.
\frac{BA}{B}=\frac{D-C}{B}
Divide both sides by B.
A=\frac{D-C}{B}
Dividing by B undoes the multiplication by B.
AB=D-C
Subtract C from both sides.
\frac{AB}{A}=\frac{D-C}{A}
Divide both sides by A.
B=\frac{D-C}{A}
Dividing by A undoes the multiplication by A.
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