Solve 4x-3y=12da

$$4 x - 3 y = 12 da$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{3y-4x}{12d}\text{, }&d\neq 0\\a\in \mathrm{C}\text{, }&x=\frac{3y}{4}\text{ and }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12da=4x-3y$$

Divide both sides by 12d.

$$\frac{12da}{12d}=\frac{4x-3y}{12d}$$

Dividing by 12d undoes the multiplication by 12d.

$$a=\frac{4x-3y}{12d}$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=-\frac{3y-4x}{12a}\text{, }&a\neq 0\\d\in \mathrm{C}\text{, }&x=\frac{3y}{4}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12da=4x-3y$$

The equation is in standard form.

$$12ad=4x-3y$$

Divide both sides by 12a.

$$\frac{12ad}{12a}=\frac{4x-3y}{12a}$$

Dividing by 12a undoes the multiplication by 12a.

$$d=\frac{4x-3y}{12a}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{3y-4x}{12d}\text{, }&d\neq 0\\a\in \mathrm{R}\text{, }&x=\frac{3y}{4}\text{ and }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12da=4x-3y$$

Divide both sides by 12d.

$$\frac{12da}{12d}=\frac{4x-3y}{12d}$$

Dividing by 12d undoes the multiplication by 12d.

$$a=\frac{4x-3y}{12d}$$

Solve for d

$$\left\{\begin{matrix}d=-\frac{3y-4x}{12a}\text{, }&a\neq 0\\d\in \mathrm{R}\text{, }&x=\frac{3y}{4}\text{ and }a=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$12da=4x-3y$$

The equation is in standard form.

$$12ad=4x-3y$$

Divide both sides by 12a.

$$\frac{12ad}{12a}=\frac{4x-3y}{12a}$$

Dividing by 12a undoes the multiplication by 12a.

$$d=\frac{4x-3y}{12a}$$