Solve 7y=9ie^2/pir^2

$$7 y = \frac { 9 i e ^ { 2 } } { \pi r ^ { 2 } }$$

Solve for y

$$y=\frac{9i\times \left(\frac{e}{r}\right)^{2}}{7\pi }$$

$$r\neq 0$$

Steps for Solving Linear Equation

Reorder the terms.

$$7y=\frac{9e^{2}i}{\pi r^{2}}$$

Divide both sides by 7.

$$\frac{7y}{7}=\frac{9e^{2}i}{7\pi r^{2}}$$

Dividing by 7 undoes the multiplication by 7.

$$y=\frac{9e^{2}i}{7\pi r^{2}}$$

Solve for r

$$r=e\sqrt{14}\left(-\frac{3}{14}-\frac{3}{14}i\right)\left(\pi y\right)^{-\frac{1}{2}}$$

$$r=e\sqrt{14}\left(\frac{3}{14}+\frac{3}{14}i\right)\left(\pi y\right)^{-\frac{1}{2}}\text{, }y\neq 0$$