Solve 9y/sqrt{b-7}=3v

$$\frac{ 9y }{ \sqrt{ b-7 } } = 3v$$

Solve for v

$$v=\frac{3y}{\sqrt{b-7}}$$

$$b>7$$

Steps for Solving Linear Equation

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

$$3v=\frac{9y}{\sqrt{b-7}}$$

Divide both sides by 3.

$$\frac{3v}{3}=\frac{9y}{3\sqrt{b-7}}$$

Dividing by 3 undoes the multiplication by 3.

$$v=\frac{9y}{3\sqrt{b-7}}$$

Divide \frac{9y}{\sqrt{b-7}} by 3.

$$v=\frac{3y}{\sqrt{b-7}}$$

Solve for b

$$\left\{\begin{matrix}b=9\times \left(\frac{y}{v}\right)^{2}+7\text{, }&\left(v>0\text{ and }y>0\right)\text{ or }\left(v<0\text{ and }y<0\right)\\b>7\text{, }&v=0\text{ and }y=0\end{matrix}\right.$$