Solve xy+2y+x3=24

$$xy+2y+x3=24$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{x_{3}+2y-24}{y}\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }x_{3}=24\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$xy+x_{3}=24-2y$$

Subtract x_{3} from both sides.

$$xy=24-2y-x_{3}$$

The equation is in standard form.

$$yx=24-2y-x_{3}$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{24-2y-x_{3}}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{24-2y-x_{3}}{y}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{x_{3}+2y-24}{y}\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }x_{3}=24\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$xy+x_{3}=24-2y$$

Subtract x_{3} from both sides.

$$xy=24-2y-x_{3}$$

The equation is in standard form.

$$yx=24-2y-x_{3}$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{24-2y-x_{3}}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{24-2y-x_{3}}{y}$$

Solve for x_3

$$x_{3}=24-2y-xy$$

Solution Steps

Subtract xy from both sides.

$$2y+x_{3}=24-xy$$

Subtract 2y from both sides.

$$x_{3}=24-xy-2y$$