Solve θ=xy

$$\theta = x y$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{\theta }{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&\theta =0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xy=\theta$$

The equation is in standard form.

$$yx=\theta$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{\theta }{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{\theta }{y}$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=\frac{\theta }{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&\theta =0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xy=\theta$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{\theta }{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{\theta }{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\theta }{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&\theta =0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xy=\theta$$

The equation is in standard form.

$$yx=\theta$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{\theta }{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{\theta }{y}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{\theta }{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&\theta =0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$xy=\theta$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{\theta }{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{\theta }{x}$$