Solve y=vx+1

$$y = v x + 1$$

Solve for v (complex solution)

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

Steps for Solving Linear Equation

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

$$vx+1=y$$

Subtract 1 from both sides.

$$vx=y-1$$

The equation is in standard form.

$$xv=y-1$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Solve for x (complex solution)

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

Steps for Solving Linear Equation

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

$$vx+1=y$$

Subtract 1 from both sides.

$$vx=y-1$$

Divide both sides by v.

$$\frac{vx}{v}=\frac{y-1}{v}$$

Dividing by v undoes the multiplication by v.

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

Solve for v

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

Steps for Solving Linear Equation

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

$$vx+1=y$$

Subtract 1 from both sides.

$$vx=y-1$$

The equation is in standard form.

$$xv=y-1$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Solve for x

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

Steps for Solving Linear Equation

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

$$vx+1=y$$

Subtract 1 from both sides.

$$vx=y-1$$

Divide both sides by v.

$$\frac{vx}{v}=\frac{y-1}{v}$$

Dividing by v undoes the multiplication by v.

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