Solve for b
\left\{\begin{matrix}b=\frac{a}{c}\text{, }&a\neq 0\text{ and }c\neq 0\\b\neq 0\text{, }&c=0\text{ and }a=0\end{matrix}\right.
Solve for a
a=bc
b\neq 0
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a=cb
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.
cb=a
Swap sides so that all variable terms are on the left hand side.
\frac{cb}{c}=\frac{a}{c}
Divide both sides by c.
b=\frac{a}{c}
Dividing by c undoes the multiplication by c.
b=\frac{a}{c}\text{, }b\neq 0
Variable b cannot be equal to 0.
a=cb
Multiply both sides of the equation by b.
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