Solve 2=2x(x/y)

$$2 = 2 x ( \frac { x } { y } )$$

Solve for y

$$y=x^{2}$$

$$x\neq 0$$

Solution Steps

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

$$2y=2xx$$

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

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

Cancel out 2 on both sides.

$$y=x^{2}$$

Variable y cannot be equal to 0.

$$y=x^{2}\text{, }y\neq 0$$

Solve for x (complex solution)

$$x=-\sqrt{y}$$

$$x=\sqrt{y}\text{, }y\neq 0$$

Solve for x

$$x=\sqrt{y}$$

$$x=-\sqrt{y}\text{, }y>0$$