Chapter 1, Problem 6CR

To determine

To calculate:

The solution of the following equation and verify it:

  $n+5n+7=43$

Answer to Problem 6CR

The solution of $n+5n+7=43$ is $6$

Explanation of Solution

Given information:

  $n+5n+7=43$

Calculation:

The given equation is:

  $n+5n+7=43$

Now simplify the above equation by adding the like terms:

  $\begin{array}{l}n+5n+7=43\\ 6n+7=43\end{array}$

Subtract $7$ from both sides of above equation:

  $\begin{array}{l}6n+7=43\\ 6n+7-7=43-7\\ 6n=36\end{array}$

Divide by $7$ on both sides of above equation:

  $\begin{array}{l}\frac{6}{6}n=\frac{36}{6}\\ n=6\end{array}$

Hence, the solution of $n+5n+7=43$ is $n=6$

Check for the solution: put $n=6$ in $n+5n+7=43$ :

  $\begin{array}{l}n+5n+7=43\\ 6+5\left(6\right)+7=43\\ 6+30+7=43\\ 43=43\end{array}$

Both sides are equal. Hence the solution is correct or verified.