Solve x=varphiy

$$x = \varphi y$$

Solve for y (complex solution)

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

Steps for Solving Linear Equation

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

$$\phi y=x$$

Divide both sides by \phi .

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

Dividing by \phi undoes the multiplication by \phi .

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

Solve for y

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

Steps for Solving Linear Equation

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

$$\phi y=x$$

Divide both sides by \phi .

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

Dividing by \phi undoes the multiplication by \phi .

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

Solve for x

$$x=y\phi$$