Solve y=kn-x

$$y = kn-x$$

Solve for k (complex solution)

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

Steps for Solving Linear Equation

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

$$kn-x=y$$

Add x to both sides.

$$kn=y+x$$

The equation is in standard form.

$$nk=x+y$$

Divide both sides by n.

$$\frac{nk}{n}=\frac{x+y}{n}$$

Dividing by n undoes the multiplication by n.

$$k=\frac{x+y}{n}$$

Solve for n (complex solution)

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

Steps for Solving Linear Equation

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

$$kn-x=y$$

Add x to both sides.

$$kn=y+x$$

The equation is in standard form.

$$kn=x+y$$

Divide both sides by k.

$$\frac{kn}{k}=\frac{x+y}{k}$$

Dividing by k undoes the multiplication by k.

$$n=\frac{x+y}{k}$$

Solve for k

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

Steps for Solving Linear Equation

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

$$kn-x=y$$

Add x to both sides.

$$kn=y+x$$

The equation is in standard form.

$$nk=x+y$$

Divide both sides by n.

$$\frac{nk}{n}=\frac{x+y}{n}$$

Dividing by n undoes the multiplication by n.

$$k=\frac{x+y}{n}$$

Solve for n

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

Steps for Solving Linear Equation

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

$$kn-x=y$$

Add x to both sides.

$$kn=y+x$$

The equation is in standard form.

$$kn=x+y$$

Divide both sides by k.

$$\frac{kn}{k}=\frac{x+y}{k}$$

Dividing by k undoes the multiplication by k.

$$n=\frac{x+y}{k}$$