Chapter 1.2, Problem 64E

To determine

whether the given x values is a solution of the given equation or not

Answer to Problem 64E

Here, $x=-1$ is not a solution but $x=2$ is a solution.

Explanation of Solution

Given:

  $x+1.5=3.5$

Calculation:

Check if $x=-1$ a solution is:

  $\begin{array}{l}-1+1.5\stackrel{?}{=}\text{3}\text{.5 Substitute }x=-1\text{ into the equation}\\ 0.5\ne \text{3}\text{.5 Simplify}\text{.}\end{array}$

  $x=-1$ isnot a solution.

Check if $x=2$ a solution is:

  $\begin{array}{l}2+1.5\stackrel{?}{=}3.5\text{ Substitute }x=2\text{ into the equation}\\ 3.5=3.5\text{ Simplify}\text{.}\end{array}$

  $x=2$ is a solution.

Conclusion:

Therefore, $x=-1$ is not a solution but $x=2$ is a solution.