Solve e=s-xy-x

$$e = s - x y - x$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{s-e}{y+1}\text{, }&y\neq -1\\x\in \mathrm{C}\text{, }&s=e\text{ and }y=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$s-xy-x=e$$

Subtract s from both sides.

$$-xy-x=e-s$$

Combine all terms containing x.

$$\left(-y-1\right)x=e-s$$

Divide both sides by -y-1.

$$\frac{\left(-y-1\right)x}{-y-1}=\frac{e-s}{-y-1}$$

Dividing by -y-1 undoes the multiplication by -y-1.

$$x=\frac{e-s}{-y-1}$$

Divide e-s by -y-1.

$$x=-\frac{e-s}{y+1}$$

Solve for s

$$s=xy+x+e$$

Solution Steps

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

$$s-xy-x=e$$

Add xy to both sides.

$$s-x=e+xy$$

Add x to both sides.

$$s=e+xy+x$$

Solve for x

$$\left\{\begin{matrix}x=\frac{s-e}{y+1}\text{, }&y\neq -1\\x\in \mathrm{R}\text{, }&s=e\text{ and }y=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$s-xy-x=e$$

Subtract s from both sides.

$$-xy-x=e-s$$

Combine all terms containing x.

$$\left(-y-1\right)x=e-s$$

Divide both sides by -y-1.

$$\frac{\left(-y-1\right)x}{-y-1}=\frac{e-s}{-y-1}$$

Dividing by -y-1 undoes the multiplication by -y-1.

$$x=\frac{e-s}{-y-1}$$

Divide e-s by -y-1.

$$x=-\frac{e-s}{y+1}$$