Solve 3a/b=c

$$\frac{3a}{b}=c$$

Solve for a

$$a=\frac{bc}{3},b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$3a=cb$$

The equation is in standard form.

$$3a=bc$$

Divide both sides by 3.

$$\frac{3a}{3}=\frac{bc}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$a=\frac{bc}{3}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{3a}{c}\text{, }&a\neq 0\text{ and }c\neq 0\\b\neq 0\text{, }&c=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$3a=cb$$

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

$$cb=3a$$

Divide both sides by c.

$$\frac{cb}{c}=\frac{3a}{c}$$

Dividing by c undoes the multiplication by c.

$$b=\frac{3a}{c}$$

Variable b cannot be equal to 0.

$$b=\frac{3a}{c}\text{, }b\neq 0$$