Solve y=Phix

$$y = \Phi x$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

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

$$\Phi x=y$$

Divide both sides by \Phi .

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

Dividing by \Phi undoes the multiplication by \Phi .

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

Solve for x

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

Steps for Solving Linear Equation

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

$$\Phi x=y$$

Divide both sides by \Phi .

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

Dividing by \Phi undoes the multiplication by \Phi .

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

Solve for y

$$y=x\Phi$$