Chapter 8.2, Problem 45E

To determine

To solve:

The given equation. Check your solution.

Answer to Problem 45E

The solution of our given equation would be $w=-4$ .

Explanation of Solution

Given:

An equation: $4-3w=16$ .

Calculation:

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

  $\begin{array}{l}4-3w=16\left(\text{Given equation}\right)\\ 4-4-3w=16-4\left(\text{Subtracting 4 from both sides}\right)\\ -3w=12\\ \frac{-3w}{-3}=\frac{12}{-3}\\ w=-4\end{array}$

Let us verify our answer by substituting $w=-4$ in our original equation.

  $\begin{array}{l}4-3w=16\\ 4-3(-4)=16\\ 4+12=16\\ 16=16\end{array}$

Since both sides of equation are equal, therefore, $w=-4$ is a solution of our given equation.