Chapter 6, Problem 12PSQ

To determine

To solve : the equation $\frac{1}{4}x-\frac{3}{8}=9$

Answer to Problem 12PSQ

The solution of equation $\frac{1}{4}x-\frac{3}{8}=9$ is $x=\frac{75}{4}$ .

Explanation of Solution

Given information :

Consider, the equation,

  $\frac{1}{4}x-\frac{3}{8}=9$

Calculation :

The value of equation is:

  $\begin{array}{l}\frac{1}{4}x-\frac{3}{8}=9\\ \frac{1}{4}x=9+\frac{3}{8}\left[\text{group like terms}\right]\\ \frac{1}{4}x=\frac{72+3}{8}\left[\text{write sum of numerator over denominator}\right]\\ \frac{1}{4}x=\frac{75}{8}\left[\text{add}\right]\\ x=\frac{75}{4}\left[\text{multiply both side with 4}\right]\\ \\ \end{array}$

Hence, the value of equation $\frac{1}{4}x-\frac{3}{8}=9$ is $x=\frac{75}{4}$ .