Solve y=ax-b

$$y = a x - b$$

Solve for a

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

Steps for Solving Linear Equation

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

$$ax-b=y$$

Add b to both sides.

$$ax=y+b$$

The equation is in standard form.

$$xa=y+b$$

Divide both sides by x.

$$\frac{xa}{x}=\frac{y+b}{x}$$

Dividing by x undoes the multiplication by x.

$$a=\frac{y+b}{x}$$

Solve for b

$$b=ax-y$$

Steps for Solving Linear Equation

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

$$ax-b=y$$

Subtract ax from both sides.

$$-b=y-ax$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{y-ax}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{y-ax}{-1}$$

Divide y-ax by -1.

$$b=ax-y$$