Solve 8(3y)=xy2

$$8 ( 3 y ) = x y 2$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

Multiply 8 and 3 to get 24.

$$24y=xy_{2}$$

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

$$xy_{2}=24y$$

The equation is in standard form.

$$y_{2}x=24y$$

Divide both sides by y_{2}.

$$\frac{y_{2}x}{y_{2}}=\frac{24y}{y_{2}}$$

Dividing by y_{2} undoes the multiplication by y_{2}.

$$x=\frac{24y}{y_{2}}$$

Solve for x

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

Steps for Solving Linear Equation

Multiply 8 and 3 to get 24.

$$24y=xy_{2}$$

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

$$xy_{2}=24y$$

The equation is in standard form.

$$y_{2}x=24y$$

Divide both sides by y_{2}.

$$\frac{y_{2}x}{y_{2}}=\frac{24y}{y_{2}}$$

Dividing by y_{2} undoes the multiplication by y_{2}.

$$x=\frac{24y}{y_{2}}$$

Solve for y

$$y=\frac{xy_{2}}{24}$$

Steps for Solving Linear Equation

Multiply 8 and 3 to get 24.

$$24y=xy_{2}$$

Divide both sides by 24.

$$\frac{24y}{24}=\frac{xy_{2}}{24}$$

Dividing by 24 undoes the multiplication by 24.

$$y=\frac{xy_{2}}{24}$$