Chapter 8.2, Problem 44E

To determine

To solve:

The given equation. Check your solution.

Answer to Problem 44E

The solution of our given equation would be $c=7$ .

Explanation of Solution

Given:

An equation: $5c-8=27$ .

Calculation:

To solve our given equation, we use opposite operations as shown below:

  $\begin{array}{l}5c-8=27\left(\text{Given equation}\right)\\ 5c-8+8=27+8\left(\text{Adding 8 on both sides}\right)\\ 5c=35\\ \frac{5c}{5}=\frac{35}{5}\\ c=7\end{array}$

Let us verify our answer by substituting $c=7$ in our original equation.

  $\begin{array}{l}5c-8=27\\ 5(7)-8=27\\ 35-8=27\\ 27=27\end{array}$

Since both sides of equation are equal, therefore, $c=7$ is a solution of our given equation.