Solve n/p=2/3

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

Solve for n

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

$$p\neq 0$$

Steps for Solving Linear Equation

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

$$3n=2p$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Solve for p

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

$$n\neq 0$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3p, the least common multiple of p,3.

$$3n=2p$$

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

$$2p=3n$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Variable p cannot be equal to 0.

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