Solve y+yz+zx=k

$$y + y z + z x = k$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

Subtract y from both sides.

$$yz+zx=k-y$$

Subtract yz from both sides.

$$zx=k-y-yz$$

Divide both sides by z.

$$\frac{zx}{z}=\frac{k-y-yz}{z}$$

Dividing by z undoes the multiplication by z.

$$x=\frac{k-y-yz}{z}$$

Solve for x

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

Steps for Solving Linear Equation

Subtract y from both sides.

$$yz+zx=k-y$$

Subtract yz from both sides.

$$zx=k-y-yz$$

Divide both sides by z.

$$\frac{zx}{z}=\frac{k-y-yz}{z}$$

Dividing by z undoes the multiplication by z.

$$x=\frac{k-y-yz}{z}$$

Solve for k

$$k=xz+yz+y$$