Solve x/frac{x{y}}=16

$$\frac{ x }{ \frac{ x }{ y } } =16$$

Solve for x

$$x\neq 0$$

$$x\neq 0\text{ and }y=16$$

Steps for Solving Linear Equation

Divide x by \frac{x}{y} by multiplying x by the reciprocal of \frac{x}{y}.

$$\frac{xy}{x}=16$$

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

$$xy=16x$$

Subtract 16x from both sides.

$$xy-16x=0$$

Combine all terms containing x.

$$\left(y-16\right)x=0$$

Divide 0 by y-16.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for y

$$y=16$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Divide x by \frac{x}{y} by multiplying x by the reciprocal of \frac{x}{y}.

$$\frac{xy}{x}=16$$

Cancel out x in both numerator and denominator.

$$y=16$$