Solve p:q=2:3

$$p : q = 2 : 3$$

Solve for p

$$p=\frac{2q}{3}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3q, the least common multiple of q,3.

$$3p=2q$$

Divide both sides by 3.

$$\frac{3p}{3}=\frac{2q}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$p=\frac{2q}{3}$$

Solve for q

$$q=\frac{3p}{2}$$

$$p\neq 0$$

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 3q, the least common multiple of q,3.

$$3p=2q$$

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

$$2q=3p$$

Divide both sides by 2.

$$\frac{2q}{2}=\frac{3p}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$q=\frac{3p}{2}$$

Variable q cannot be equal to 0.

$$q=\frac{3p}{2}\text{, }q\neq 0$$