Solve X+XY=Z

$$X + X Y = Z$$

Solve for X (complex solution)

$$\left\{\begin{matrix}X=\frac{Z}{Y+1}\text{, }&Y\neq -1\\X\in \mathrm{C}\text{, }&Z=0\text{ and }Y=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine all terms containing X.

$$\left(1+Y\right)X=Z$$

The equation is in standard form.

$$\left(Y+1\right)X=Z$$

Divide both sides by 1+Y.

$$\frac{\left(Y+1\right)X}{Y+1}=\frac{Z}{Y+1}$$

Dividing by 1+Y undoes the multiplication by 1+Y.

$$X=\frac{Z}{Y+1}$$

Solve for Y (complex solution)

$$\left\{\begin{matrix}Y=\frac{Z}{X}-1\text{, }&X\neq 0\\Y\in \mathrm{C}\text{, }&X=0\text{ and }Z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract X from both sides.

$$XY=Z-X$$

Divide both sides by X.

$$\frac{XY}{X}=\frac{Z-X}{X}$$

Dividing by X undoes the multiplication by X.

$$Y=\frac{Z-X}{X}$$

Divide Z-X by X.

$$Y=\frac{Z}{X}-1$$

Solve for X

$$\left\{\begin{matrix}X=\frac{Z}{Y+1}\text{, }&Y\neq -1\\X\in \mathrm{R}\text{, }&Z=0\text{ and }Y=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Combine all terms containing X.

$$\left(1+Y\right)X=Z$$

The equation is in standard form.

$$\left(Y+1\right)X=Z$$

Divide both sides by 1+Y.

$$\frac{\left(Y+1\right)X}{Y+1}=\frac{Z}{Y+1}$$

Dividing by 1+Y undoes the multiplication by 1+Y.

$$X=\frac{Z}{Y+1}$$

Solve for Y

$$\left\{\begin{matrix}Y=\frac{Z}{X}-1\text{, }&X\neq 0\\Y\in \mathrm{R}\text{, }&X=0\text{ and }Z=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract X from both sides.

$$XY=Z-X$$

Divide both sides by X.

$$\frac{XY}{X}=\frac{Z-X}{X}$$

Dividing by X undoes the multiplication by X.

$$Y=\frac{Z-X}{X}$$

Divide Z-X by X.

$$Y=\frac{Z}{X}-1$$