Solve y=2kx

$$y = 2 k x$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{y}{2x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2kx=y$$

The equation is in standard form.

$$2xk=y$$

Divide both sides by 2x.

$$\frac{2xk}{2x}=\frac{y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$k=\frac{y}{2x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{2k}\text{, }&k\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2kx=y$$

Divide both sides by 2k.

$$\frac{2kx}{2k}=\frac{y}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$x=\frac{y}{2k}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{y}{2x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2kx=y$$

The equation is in standard form.

$$2xk=y$$

Divide both sides by 2x.

$$\frac{2xk}{2x}=\frac{y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$k=\frac{y}{2x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{2k}\text{, }&k\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2kx=y$$

Divide both sides by 2k.

$$\frac{2kx}{2k}=\frac{y}{2k}$$

Dividing by 2k undoes the multiplication by 2k.

$$x=\frac{y}{2k}$$