Chapter 4.5, Problem 4CYU

To determine

To find: the value of given expression

Answer to Problem 4CYU

The required solution is $p=-8$

Explanation of Solution

Given:

  $\frac{p}{4}-6=-8$

Calculation:

To solve equation and check the solution

  $\frac{p}{4}-6=-8$

Add both sides of equation with 6

  $\begin{array}{l}\frac{p}{4}-6+6=-8+6\\ \frac{p}{4}=-2\end{array}$

Multiply both sides of equation by 4

  $\begin{array}{l}p=-2.4\\ p=-8\end{array}$

Solution:

  $p=-8$

Check

Substitute

  $\begin{array}{l}p=-8\text{ in }\frac{p}{4}-6=-8\\ \frac{1}{4}\left(-8\right)-6=-8\\ -2-6=-8\\ -8=-8\end{array}$

Hence, verified. So solution is $p=-8$

Conclusion:

Hence, the solution is $p=-8$