Chapter 4.6, Problem 33SR

To determine

To check and solve:The given equation

Answer to Problem 33SR

The solution of the equation is $t=4$ .

Explanation of Solution

Given: $-8t-9=-41$

Calculation:

The equation can be written as,

  $\begin{array}{l}-8t-9=-41\\ -8t-9+9=-41\text{ +9 Add 9 on both sides}\text{.}\\ -8t=-32\text{ Simplify}\text{.}\\ \frac{-8t}{-8}=\frac{-32}{-8}Divide\text{ -8 on both sides}\\ t=4\text{ Simplify,}\end{array}$

Hence, the solution of the equationis $t=4$ .

Check:

  $\begin{array}{l}\text{Substitute }t=4\text{ in }-8t-9=-41\\ -8(4)-9=-41\\ -32-9=-41\\ -41=-41\text{ True}\end{array}$

Conclusion:Hence, the solution of the equationis $t=4$ .