Solve 2xy=3ak

$$2 x y = 3 a k$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=\frac{2xy}{3k}\text{, }&k\neq 0\\a\in \mathrm{C}\text{, }&\left(x=0\text{ or }y=0\right)\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3ak=2xy$$

The equation is in standard form.

$$3ka=2xy$$

Divide both sides by 3k.

$$\frac{3ka}{3k}=\frac{2xy}{3k}$$

Dividing by 3k undoes the multiplication by 3k.

$$a=\frac{2xy}{3k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{2xy}{3a}\text{, }&a\neq 0\\k\in \mathrm{C}\text{, }&\left(x=0\text{ or }y=0\right)\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3ak=2xy$$

Divide both sides by 3a.

$$\frac{3ak}{3a}=\frac{2xy}{3a}$$

Dividing by 3a undoes the multiplication by 3a.

$$k=\frac{2xy}{3a}$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2xy}{3k}\text{, }&k\neq 0\\a\in \mathrm{R}\text{, }&\left(x=0\text{ or }y=0\right)\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3ak=2xy$$

The equation is in standard form.

$$3ka=2xy$$

Divide both sides by 3k.

$$\frac{3ka}{3k}=\frac{2xy}{3k}$$

Dividing by 3k undoes the multiplication by 3k.

$$a=\frac{2xy}{3k}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{2xy}{3a}\text{, }&a\neq 0\\k\in \mathrm{R}\text{, }&\left(x=0\text{ or }y=0\right)\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3ak=2xy$$

Divide both sides by 3a.

$$\frac{3ak}{3a}=\frac{2xy}{3a}$$

Dividing by 3a undoes the multiplication by 3a.

$$k=\frac{2xy}{3a}$$