Chapter 1.2, Problem 62E

To determine

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

Answer to Problem 62E

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

Explanation of Solution

Given:

  $2x-1=3$

Calculation:

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

  $\begin{array}{l}2\left(-1\right)-1\stackrel{?}{=}\text{3 Substitute }x=-1\text{ into the equation}\\ -2-1\stackrel{?}{=}\text{3 Multiply}\\ -3\ne 3\text{ Simplify}\text{.}\end{array}$

  $x=-1$ isnot a solution.

Check if $x=2$ a solution is:

  $\begin{array}{l}2\left(2\right)-1\stackrel{?}{=}\text{3 Substitute }x=2\text{ into the equation}\\ 4-1\stackrel{?}{=}\text{3 Multiply}\\ 3=3\text{ Simplify}\text{.}\end{array}$

  $x=2$ is a solution.

Conclusion:

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