Solve y=1+Ex

$$y = 1+Ex$$

Solve for E (complex solution)

$$\left\{\begin{matrix}E=\frac{y-1}{x}\text{, }&x\neq 0\\E\in \mathrm{C}\text{, }&y=1\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$1+Ex=y$$

Subtract 1 from both sides.

$$Ex=y-1$$

The equation is in standard form.

$$xE=y-1$$

Divide both sides by x.

$$\frac{xE}{x}=\frac{y-1}{x}$$

Dividing by x undoes the multiplication by x.

$$E=\frac{y-1}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y-1}{E}\text{, }&E\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ and }E=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$1+Ex=y$$

Subtract 1 from both sides.

$$Ex=y-1$$

Divide both sides by E.

$$\frac{Ex}{E}=\frac{y-1}{E}$$

Dividing by E undoes the multiplication by E.

$$x=\frac{y-1}{E}$$

Solve for E

$$\left\{\begin{matrix}E=\frac{y-1}{x}\text{, }&x\neq 0\\E\in \mathrm{R}\text{, }&y=1\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$1+Ex=y$$

Subtract 1 from both sides.

$$Ex=y-1$$

The equation is in standard form.

$$xE=y-1$$

Divide both sides by x.

$$\frac{xE}{x}=\frac{y-1}{x}$$

Dividing by x undoes the multiplication by x.

$$E=\frac{y-1}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y-1}{E}\text{, }&E\neq 0\\x\in \mathrm{R}\text{, }&y=1\text{ and }E=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$1+Ex=y$$

Subtract 1 from both sides.

$$Ex=y-1$$

Divide both sides by E.

$$\frac{Ex}{E}=\frac{y-1}{E}$$

Dividing by E undoes the multiplication by E.

$$x=\frac{y-1}{E}$$