Solve b/q=7/8

$$\frac { b } { q } = \frac { 7 } { 8 }$$

Solve for b

$$b=\frac{7q}{8}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8q, the least common multiple of q,8.

$$8b=7q$$

Divide both sides by 8.

$$\frac{8b}{8}=\frac{7q}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$b=\frac{7q}{8}$$

Solve for q

$$q=\frac{8b}{7}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Variable q cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8q, the least common multiple of q,8.

$$8b=7q$$

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

$$7q=8b$$

Divide both sides by 7.

$$\frac{7q}{7}=\frac{8b}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$q=\frac{8b}{7}$$

Variable q cannot be equal to 0.

$$q=\frac{8b}{7}\text{, }q\neq 0$$