Solve x/xy=y

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

Solve for x (complex solution)

$$x\neq 0$$

$$y=1\text{ or }y=-1$$

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 xy.

$$x=yxy$$

Multiply y and y to get y^{2}.

$$x=y^{2}x$$

Subtract y^{2}x from both sides.

$$x-y^{2}x=0$$

Reorder the terms.

$$-xy^{2}+x=0$$

Combine all terms containing x.

$$\left(-y^{2}+1\right)x=0$$

The equation is in standard form.

$$\left(1-y^{2}\right)x=0$$

Divide 0 by -y^{2}+1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for x

$$x\neq 0$$

$$|y|=1$$

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 xy.

$$x=yxy$$

Multiply y and y to get y^{2}.

$$x=y^{2}x$$

Subtract y^{2}x from both sides.

$$x-y^{2}x=0$$

Reorder the terms.

$$-xy^{2}+x=0$$

Combine all terms containing x.

$$\left(-y^{2}+1\right)x=0$$

The equation is in standard form.

$$\left(1-y^{2}\right)x=0$$

Divide 0 by -y^{2}+1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for y

$$y=1$$

$$y=-1\text{, }x\neq 0$$