Solve 36/p=p/y

$$\frac { 36 } { p } = \frac { p } { y }$$

Solve for y

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

$$p\neq 0$$

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 py, the least common multiple of p,y.

$$y\times 36=pp$$

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

$$y\times 36=p^{2}$$

The equation is in standard form.

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

Divide both sides by 36.

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

Dividing by 36 undoes the multiplication by 36.

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

Variable y cannot be equal to 0.

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

Solve for p

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

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