Chapter 2.3, Problem 33P

Solve each equation. Choose the method you prefer to use. Check your answer.

$14.2=-6.8+4.2d$

To determine

To find: The simplified form of the equation $14.2=-6.8+4.2d$ and check the answer.

Answer to Problem 33P

The simplified form of the equation $14.2=-6.8+4.2d$ is $d=5$ .

Explanation of Solution

Given:

The equation is $14.2=-6.8+4.2d$ .

Calculation:

Simplify the equation $14.2=-6.8+4.2d$ by making all the fractions with same denominator as follows:

  $\begin{array}{c}14.2=-6.8+4.2d\\ 14.2+6.8=4.2d\\ d=\frac{21}{4.2}\\ d=5\end{array}$

Check answer as follows:

  $\begin{array}{l}14.2=-6.8+4.2\left(5\right)\\ 14.2=14.2\end{array}$

Thus, the simplified form of the equation $14.2=-6.8+4.2d$ is $d=5$ .