Chapter 4.5, Problem 7CYU

To determine

To solve and check: the given equation

Answer to Problem 7CYU

The required solution is $d=-3$

Explanation of Solution

Given: $-7-8d=17$

Calculation:

Consider the following equation:

  $-7-8d=17$.

The objective is to solve this equation, and check the solution.

  $-7-8d=17$ Write the original equation

  $-7-8d+7=17+7$ Add $7$ to both sides

  $-8d=24$ Simplify

  $\frac{-8d}{-8}=\frac{24}{-8}$ Divide both sides by $-8$

  $d=-3$ .Simplify

Check the solution by substituting the answer $d=-3$ into the original equation:

  $-7-8d=17$ Write original equation

  $-7-8(-3)=17$ Replace $d$ with $-3$

  $17=17$ . The Sentences is true.

Hence, it is clear that, the equation $-7-8d=17$ is True when $d=-3$ .

Therefore, the solution is $d=-3$

Conclusion:

The required solution is $d=-3$