Chapter 1.2, Problem 10E

To determine

To calculate: To solve the equation and check your solution

Answer to Problem 10E

Solution of equation is $d=-16$

Explanation of Solution

Given: Equation is $\frac{d-8}{-2}=12$

Calculation:

Equation is given as follows:

  $\frac{d-8}{-2}=12$

On solving the above equation:

  $\begin{array}{l}d-8=12\times -2\\ d-8=-24\\ d=-24+8\\ d=-16\end{array}$

Checking the Solution:

Substitute $d=-16$ in the left side of equation $\frac{d-8}{-2}=12$

  $\begin{array}{l}\Rightarrow \frac{-16-8}{-2}\\ \Rightarrow \frac{-24}{-2}\\ \Rightarrow 12\end{array}$

Left hand side of equation is equal to right hand side of equation.

Thus,

  $d=-16$ is solution of equation.

Conclusion:

Hence, solution of equation is $d=-16$