Chapter 4.4, Problem 33PPS

To determine

To solve and check: the given equation

Answer to Problem 33PPS

The required solution is $r=-64$

Explanation of Solution

Given: $\frac{r}{4}=-25+9$

Calculation:

To solve equation and check the solution

  $\frac{r}{4}=-25+9$

  $\frac{r}{4}=-16\left(\text{add}\right)$

Multiply both sides of equation by $4$

  $\begin{array}{l}r=-16\cdot 4\\ r=-64\end{array}$

Solution:- $r=-64$

Check:

Substitute $r=-64$ in $\frac{r}{4}=-25+9$

  $\begin{array}{l}\frac{-64}{4}=-25+9\\ -16=-16\end{array}$

Left hand side = Right hand side

Hence verified. So solution is $r=-64$

Conclusion:

Therefore, the required solution is $r=-64$