Solve 15p^1/q^1=3/1

$$\frac{ 15 { p }^{ 1 } }{ { q }^{ 1 } } = \frac{ 3 }{ 1 }$$

Solve for p

$$p=\frac{q}{5}$$

$$q\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by q.

$$15p^{1}=q\times 3$$

Calculate p to the power of 1 and get p.

$$15p=q\times 3$$

The equation is in standard form.

$$15p=3q$$

Divide both sides by 15.

$$\frac{15p}{15}=\frac{3q}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$p=\frac{3q}{15}$$

Divide 3q by 15.

$$p=\frac{q}{5}$$

Solve for q

$$q=5p$$

$$p\neq 0$$

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 q.

$$15p^{1}=q\times 3$$

Calculate p to the power of 1 and get p.

$$15p=q\times 3$$

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

$$q\times 3=15p$$

The equation is in standard form.

$$3q=15p$$

Divide both sides by 3.

$$\frac{3q}{3}=\frac{15p}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$q=\frac{15p}{3}$$

Divide 15p by 3.

$$q=5p$$

Variable q cannot be equal to 0.

$$q=5p\text{, }q\neq 0$$