Chapter 2.1, Problem 67E

To determine

To calculate:

Literal equation for $x$ .

Answer to Problem 67E

Solution of given equation is $x=\frac{n}{2}-\frac{1}{4}$

Explanation of Solution

Given information:

  $n=\frac{2x+1}{2}$

Calculation:

Here given equation is,

  $n=\frac{2x+1}{2}$

solving for $x$ ,first divide by $2$ on both sides

  $\begin{array}{l}n=\frac{2x+1}{2}\\ \frac{n}{2}=\frac{2x}{2}+\frac{1}{\left(2\right)\left(2\right)}\end{array}$

After simplifying,

  $\begin{array}{l}\frac{n}{2}=x+\frac{1}{4}\\ x=\frac{n}{2}-\frac{1}{4}\end{array}$

Thus, solution of given equation is $x=\frac{n}{2}-\frac{1}{4}$