Solve y=a/x

$$y = \frac { a } { x }$$

Solve for a

$$a=xy$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$yx=a$$

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

$$a=yx$$

Solve for x

$$\left\{\begin{matrix}x=\frac{a}{y}\text{, }&a\neq 0\text{ and }y\neq 0\\x\neq 0\text{, }&y=0\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$yx=a$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{a}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{a}{y}$$

Variable x cannot be equal to 0.

$$x=\frac{a}{y}\text{, }x\neq 0$$