Solve x=Lmy

$$x = L m y$$

Solve for L (complex solution)

$$\left\{\begin{matrix}L=\frac{x}{my}\text{, }&y\neq 0\text{ and }m\neq 0\\L\in \mathrm{C}\text{, }&\left(y=0\text{ or }m=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Lmy=x$$

The equation is in standard form.

$$myL=x$$

Divide both sides by my.

$$\frac{myL}{my}=\frac{x}{my}$$

Dividing by my undoes the multiplication by my.

$$L=\frac{x}{my}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{x}{Ly}\text{, }&y\neq 0\text{ and }L\neq 0\\m\in \mathrm{C}\text{, }&\left(y=0\text{ or }L=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Lmy=x$$

The equation is in standard form.

$$Lym=x$$

Divide both sides by Ly.

$$\frac{Lym}{Ly}=\frac{x}{Ly}$$

Dividing by Ly undoes the multiplication by Ly.

$$m=\frac{x}{Ly}$$

Solve for L

$$\left\{\begin{matrix}L=\frac{x}{my}\text{, }&y\neq 0\text{ and }m\neq 0\\L\in \mathrm{R}\text{, }&\left(y=0\text{ or }m=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Lmy=x$$

The equation is in standard form.

$$myL=x$$

Divide both sides by my.

$$\frac{myL}{my}=\frac{x}{my}$$

Dividing by my undoes the multiplication by my.

$$L=\frac{x}{my}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{x}{Ly}\text{, }&y\neq 0\text{ and }L\neq 0\\m\in \mathrm{R}\text{, }&\left(y=0\text{ or }L=0\right)\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Lmy=x$$

The equation is in standard form.

$$Lym=x$$

Divide both sides by Ly.

$$\frac{Lym}{Ly}=\frac{x}{Ly}$$

Dividing by Ly undoes the multiplication by Ly.

$$m=\frac{x}{Ly}$$