Solve y=b/sqrt{x}

$$y = \frac { b } { \sqrt { x } }$$

Solve for b

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

$$x>0$$

Steps for Solving Linear Equation

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

$$\frac{b}{\sqrt{x}}=y$$

The equation is in standard form.

$$\frac{1}{\sqrt{x}}b=y$$

Divide both sides by \left(\sqrt{x}\right)^{-1}.

$$\frac{\frac{1}{\sqrt{x}}b\sqrt{x}}{1}=\frac{y\sqrt{x}}{1}$$

Dividing by \left(\sqrt{x}\right)^{-1} undoes the multiplication by \left(\sqrt{x}\right)^{-1}.

$$b=\frac{y\sqrt{x}}{1}$$

Divide y by \left(\sqrt{x}\right)^{-1}.

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

Solve for x

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