Solve xy+p=5

$$x y + p = 5$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{p-5}{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&p=5\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract p from both sides.

$$xy=5-p$$

The equation is in standard form.

$$yx=5-p$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{5-p}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{5-p}{y}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{p-5}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&p=5\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract p from both sides.

$$xy=5-p$$

The equation is in standard form.

$$yx=5-p$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{5-p}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{5-p}{y}$$

Solve for p

$$p=5-xy$$

Solution Steps

Subtract xy from both sides.

$$p=5-xy$$