Solve van=2n+1=

$$v a n = 2 n + 1 =$$

Solve for a

$$\left\{\begin{matrix}a=\frac{2n+1}{nv}\text{, }&v\neq 0\text{ and }n\neq 0\\a\in \mathrm{R}\text{, }&n=-\frac{1}{2}\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$nva=2n+1$$

Divide both sides by vn.

$$\frac{nva}{nv}=\frac{2n+1}{nv}$$

Dividing by vn undoes the multiplication by vn.

$$a=\frac{2n+1}{nv}$$

Solve for n

$$n=\frac{1}{av-2}$$

$$a=0\text{ or }v\neq \frac{2}{a}$$

Steps for Solving Linear Equation

Subtract 2n from both sides.

$$van-2n=1$$

Combine all terms containing n.

$$\left(va-2\right)n=1$$

The equation is in standard form.

$$\left(av-2\right)n=1$$

Divide both sides by va-2.

$$\frac{\left(av-2\right)n}{av-2}=\frac{1}{av-2}$$

Dividing by va-2 undoes the multiplication by va-2.

$$n=\frac{1}{av-2}$$