Solve Jy^-1=frac{sqrt{y}}{y}

$$J y ^ { - 1 } = \frac { \sqrt { y } } { y }$$

Solve for J (complex solution)

$$J=\sqrt{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$Jy^{-1}y=\sqrt{y}$$

Reorder the terms.

$$\frac{1}{y}Jy=\sqrt{y}$$

Multiply both sides of the equation by y.

$$1Jy=y\sqrt{y}$$

Reorder the terms.

$$Jy=\sqrt{y}y$$

The equation is in standard form.

$$yJ=\sqrt{y}y$$

Divide both sides by y.

$$\frac{yJ}{y}=\frac{y^{\frac{3}{2}}}{y}$$

Dividing by y undoes the multiplication by y.

$$J=\frac{y^{\frac{3}{2}}}{y}$$

Divide y^{\frac{3}{2}} by y.

$$J=\sqrt{y}$$

Solve for J

$$J=\sqrt{y}$$

$$y>0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$Jy^{-1}y=\sqrt{y}$$

Reorder the terms.

$$\frac{1}{y}Jy=\sqrt{y}$$

Multiply both sides of the equation by y.

$$1Jy=y\sqrt{y}$$

Reorder the terms.

$$Jy=\sqrt{y}y$$

The equation is in standard form.

$$yJ=\sqrt{y}y$$

Divide both sides by y.

$$\frac{yJ}{y}=\frac{y^{\frac{3}{2}}}{y}$$

Dividing by y undoes the multiplication by y.

$$J=\frac{y^{\frac{3}{2}}}{y}$$

Divide y^{\frac{3}{2}} by y.

$$J=\sqrt{y}$$

Solve for y (complex solution)

$$y=J^{2}$$

$$arg(J)<\pi \text{ and }J\neq 0$$

Solve for y

$$y=J^{2}$$

$$J>0$$