Solve p/q=3/7

$$\frac { p } { q } = \frac { 3 } { 7 }$$

Solve for p

$$p=\frac{3q}{7}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7q, the least common multiple of q,7.

$$7p=3q$$

Divide both sides by 7.

$$\frac{7p}{7}=\frac{3q}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$p=\frac{3q}{7}$$

Solve for q

$$q=\frac{7p}{3}$$

$$p\neq 0$$

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 7q, the least common multiple of q,7.

$$7p=3q$$

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

$$3q=7p$$

Divide both sides by 3.

$$\frac{3q}{3}=\frac{7p}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$q=\frac{7p}{3}$$

Variable q cannot be equal to 0.

$$q=\frac{7p}{3}\text{, }q\neq 0$$