Solve v=r+at

$$v = r + a t$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{r-v}{t}\text{, }&t\neq 0\\a\in \mathrm{R}\text{, }&v=r\text{ and }t=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$r+at=v$$

Subtract r from both sides.

$$at=v-r$$

The equation is in standard form.

$$ta=v-r$$

Divide both sides by t.

$$\frac{ta}{t}=\frac{v-r}{t}$$

Dividing by t undoes the multiplication by t.

$$a=\frac{v-r}{t}$$

Solve for r

$$r=v-at$$

Solution Steps

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

$$r+at=v$$

Subtract at from both sides.

$$r=v-at$$