Solve x/2y=18/x

$$\frac { x } { 2 y } = \frac { 18 } { x }$$

Solve for y

$$y=\frac{x^{2}}{36}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2xy, the least common multiple of 2y,x.

$$xx=2y\times 18$$

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

$$x^{2}=2y\times 18$$

Multiply 2 and 18 to get 36.

$$x^{2}=36y$$

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

$$36y=x^{2}$$

Divide both sides by 36.

$$\frac{36y}{36}=\frac{x^{2}}{36}$$

Dividing by 36 undoes the multiplication by 36.

$$y=\frac{x^{2}}{36}$$

Variable y cannot be equal to 0.

$$y=\frac{x^{2}}{36}\text{, }y\neq 0$$

Solve for x (complex solution)

$$x=-6\sqrt{y}$$

$$x=6\sqrt{y}\text{, }y\neq 0$$

Solve for x

$$x=6\sqrt{y}$$

$$x=-6\sqrt{y}\text{, }y>0$$