Solve 3/b=1/c

$$\frac { 3 } { b } = \frac { 1 } { c }$$

Solve for b

$$b=3c$$

$$c\neq 0$$

Solution Steps

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by bc, the least common multiple of b,c.

$$c\times 3=b$$

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

$$b=c\times 3$$

Variable b cannot be equal to 0.

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

Solve for c

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

$$b\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by bc, the least common multiple of b,c.

$$c\times 3=b$$

The equation is in standard form.

$$3c=b$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Variable c cannot be equal to 0.

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