Solve xy+yz=a

$$x y + y z = a$$

Solve for x

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

Steps for Solving Linear Equation

Subtract yz from both sides.

$$xy=a-yz$$

The equation is in standard form.

$$yx=a-yz$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{a-yz}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{a-yz}{y}$$

Divide a-yz by y.

$$x=-z+\frac{a}{y}$$

Solve for a

$$a=y\left(x+z\right)$$