Solve for A
\left\{\begin{matrix}\\A=B\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&C=0\end{matrix}\right.
Solve for B
\left\{\begin{matrix}\\B=A\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&C=0\end{matrix}\right.
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AC=BC
Swap sides so that all variable terms are on the left hand side.
CA=BC
The equation is in standard form.
\frac{CA}{C}=\frac{BC}{C}
Divide both sides by C.
A=\frac{BC}{C}
Dividing by C undoes the multiplication by C.
A=B
Divide BC by C.
CB=AC
The equation is in standard form.
\frac{CB}{C}=\frac{AC}{C}
Divide both sides by C.
B=\frac{AC}{C}
Dividing by C undoes the multiplication by C.
B=A
Divide AC by C.
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