Chapter 8.1, Problem 34E

To determine

Whether $u=-12$ is a solution for the given equation.

Answer to Problem 34E

  $u=-12$ is a solution for the given equation.

Explanation of Solution

Given:

An equation: $\frac{-144}{u}=12$

Calculation:

To check whether $u=-12$ is a solution for the given equation or not, we will substitute $u=-12$ in our given equation as shown below:

  $\begin{array}{l}\frac{-144}{u}=12\left(\text{Given equation}\right)\\ \frac{-144}{-12}=12\left(\text{Substituting }u=-12\right)\\ \frac{-12\cdot 12}{-12}=12\\ 12=12\left(\text{Using property }\frac{\text{(}-)}{(-)}=(+)\right)\end{array}$

Since both sides of equation are equal, therefore, $u=-12$ is a solution for the given equation.