Solve y=a*x+3

$$y = a \cdot x + 3$$

Solve for a (complex solution)

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

Steps for Solving Linear Equation

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

$$ax+3=y$$

Subtract 3 from both sides.

$$ax=y-3$$

The equation is in standard form.

$$xa=y-3$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{y-3}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{y-3}{x}$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

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

$$ax+3=y$$

Subtract 3 from both sides.

$$ax=y-3$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{y-3}{a}$$

Dividing by a undoes the multiplication by a.

$$x=\frac{y-3}{a}$$

Solve for a

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

Steps for Solving Linear Equation

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

$$ax+3=y$$

Subtract 3 from both sides.

$$ax=y-3$$

The equation is in standard form.

$$xa=y-3$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{y-3}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{y-3}{x}$$

Solve for x

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

Steps for Solving Linear Equation

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

$$ax+3=y$$

Subtract 3 from both sides.

$$ax=y-3$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{y-3}{a}$$

Dividing by a undoes the multiplication by a.

$$x=\frac{y-3}{a}$$