Chapter 4.5, Problem 6CYU

To determine

To solve and check: the given equation

Answer to Problem 6CYU

The required solution is $p=30$

Explanation of Solution

Given: $\frac{r}{-2}-12=-27$

Calculation:

To solve equation and check the solution

  $\frac{r}{-2}-12=-27$

Add both sides of equation with $12$

  $\begin{array}{l}\frac{r}{-2}-12+12=-27+12\\ \frac{r}{-2}=-15\end{array}$

Multiply both sides of equation by $-2$

  $\begin{array}{l}r=-15.(-2)\\ r=30\end{array}$

Solution:- $r=30$

Check

Substitute $r=30$ in $\frac{r}{-2}-12=-27$

  $\begin{array}{l}\frac{1}{-2}(30)-12=-27\\ -15-12=-27\\ -27=-27\end{array}$

Hence verified .So solution is $r=30$ .

Conclusion:

The required solution is $p=30$