Chapter 4.3, Problem 26PPS

To determine

To calculate:To solve the equation, then check your solution and graph it on number line

Answer to Problem 26PPS

On solving equation, $r=\frac{257}{24}$

Explanation of Solution

Given information:Equation is $8\frac{3}{8}=r-2\frac{1}{3}$

Calculation:

Equation is given as

$8\frac{3}{8}=r-2\frac{1}{3}$

On solving above equation,

> $\begin{array}{l}r-2\frac{1}{3}=8\frac{3}{8}\\ r-\frac{7}{3}=\frac{67}{8}\\ r=\frac{67}{8}+\frac{7}{3}\\ r=\frac{201}{24}+\frac{56}{24}\\ r=\frac{257}{24}\end{array}$

In order to check the solution, substitute $r=\frac{257}{24}$ in the given equation

$\begin{array}{l}RHS:\frac{257}{24}-2\frac{1}{3}\\ RHS:\frac{257}{24}-\frac{7}{3}\\ RHS:\frac{257}{24}-\frac{56}{24}\\ RHS:\frac{201}{24}\\ RHS:\frac{67}{8}\\ RHS:8\frac{3}{8}\end{array}$

Now, LHS = RHS

Hence, $r=\frac{257}{24}$ is solution of the equation $8\frac{3}{8}=r-2\frac{1}{3}$

Graphing $r=\frac{257}{24}$ on number line,

Considering y-axis as r-axis