Solve y=ax+B

$$y = a x + B$$

Solve for B

$$B=y-ax$$

Solution Steps

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

$$ax+B=y$$

Subtract ax from both sides.

$$B=y-ax$$

Solve for a

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

Steps for Solving Linear Equation

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

$$ax+B=y$$

Subtract B from 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.

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