Chapter 8.1, Problem 31E

To determine

Whether $x=-8$ is a solution for the given equation.

Answer to Problem 31E

  $x=-8$ is a solution for the given equation.

Explanation of Solution

Given:

An equation: $x+11=3$

Calculation:

To check whether $x=-8$ is a solution for the given equation or not, we will substitute $x=-8$ in our given equation as shown below:

  $\begin{array}{l}x+11=3\left(\text{Given equation}\right)\\ -8+11=3\left(\text{Substituting }x=-8\right)\\ 3=3\end{array}$

Since both sides of equation are equal, therefore, $x=-8$ is a solution for the given equation.