Solve x/p=5q

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

Solve for p

$$\left\{\begin{matrix}p=\frac{x}{5q}\text{, }&x\neq 0\text{ and }q\neq 0\\p\neq 0\text{, }&q=0\text{ and }x=0\end{matrix}\right.$$

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 p.

$$x=5qp$$

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

$$5qp=x$$

Divide both sides by 5q.

$$\frac{5qp}{5q}=\frac{x}{5q}$$

Dividing by 5q undoes the multiplication by 5q.

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

Variable p cannot be equal to 0.

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

Solve for q

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

$$p\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by p.

$$x=5qp$$

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

$$5qp=x$$

The equation is in standard form.

$$5pq=x$$

Divide both sides by 5p.

$$\frac{5pq}{5p}=\frac{x}{5p}$$

Dividing by 5p undoes the multiplication by 5p.

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