Solve bc=ab

$$b c = a b$$

Solve for a

$$\left\{\begin{matrix}\\a=c\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$ab=bc$$

The equation is in standard form.

$$ba=bc$$

Divide both sides by b.

$$\frac{ba}{b}=\frac{bc}{b}$$

Dividing by b undoes the multiplication by b.

$$a=\frac{bc}{b}$$

Divide bc by b.

$$a=c$$

Solve for b

$$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&c=a\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract ab from both sides.

$$bc-ab=0$$

Combine all terms containing b.

$$\left(c-a\right)b=0$$

Divide 0 by c-a.

$$b=0$$