Chapter 4.3, Problem 18PPS

To determine

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

Answer to Problem 18PPS

On solving equation, $m=\frac{29}{8}$

Explanation of Solution

Given information:Equation is $m+1\frac{3}{8}=5$

Calculation:

Equation is given as

$m+1\frac{3}{8}=5$

On solving above equation,

> $\begin{array}{l}m+\frac{11}{8}=5\\ m=5-\frac{11}{8}\\ m=\frac{40}{8}-\frac{11}{8}\\ m=\frac{29}{8}\end{array}$

In order to check the solution, substitute $m=\frac{29}{8}$ in the given equation

$\begin{array}{l}LHS:\frac{29}{8}+1\frac{1}{8}\\ LHS:\frac{29}{8}+\frac{11}{8}\\ LHS:\frac{40}{8}\\ LHS:5\end{array}$

Now, LHS = RHS

Hence, $m=\frac{29}{8}$ is solution of the equation $m+1\frac{3}{8}=5$

Graphing $m=\frac{29}{8}$ on number line,

Let y-axis is represented as m-axis