Chapter 8.4, Problem 43E

To determine

To solve:

The given equation. Check your solution.

Answer to Problem 43E

The solution of our given equation would be $y=-11$ .

Explanation of Solution

Given:

An equation: $-3y=33$ .

Calculation:

To solve our given equation, we use opposite operations as shown below:

  $\begin{array}{l}-3y=33\left(\text{Given equation}\right)\\ \frac{-3y}{-3}=\frac{33}{-3}\left(\text{Dividing both sides by }-3\right)\\ y=-11\end{array}$

Let us verify our answer by substituting $y=-11$ in our original equation.

  $\begin{array}{l}-3y=33\left(\text{Given equation}\right)\\ -3(-11)=33\left(\text{Substituting }y=-11\right)\\ 33=33\end{array}$

Since both sides of equation are equal, therefore, $y=-11$ is a solution of our given equation.