Chapter 1: Q38. (page 31)

Solve each equation. Check your solution
$- 3 |2 n + 5| = - 9$

Short Answer

Expert verified

The solutions of the equations is-1 or -4

Step by step solution

Step1- Order for solving the equation

To evaluate any equation involving more than one operation, follow the below order operation

First assume the case one in which the equation be a=b.
Secondly assume the case two in which the equation be a=-b.
Solve the equations of both the cases to find the value of algebraic expression
After finding the two values of algebraic expression, put the value in the original equation and check the solution

Step2- Solve the equations

Case1- $a = b$

$\begin{matrix} - 3 (2 n + 5) = - 9 \\ - 6 n - 15 = - 9 \\ - 6 n = - 9 + 15 \\ - n = \frac{6}{6} \\ n = - 1 \end{matrix}$

Case2- $a = - b$

$\begin{matrix} - 3 (2 n + 5) = - (- 9) \\ - 6 n - 15 = 9 \\ - 6 n = 15 + 9 \\ n = - \frac{24}{6} \\ = - 4 \end{matrix}$

Step3- Check the solutions

Put the value of n=-1 in the equation $- 3 |2 n + 5| = - 9$

$\begin{matrix} - 3 | 2 n + 5 | = - 3 | 2 \times - 1 + 5 | \\ = - 3 | 3 | \\ = - 9 \end{matrix}$

Put the value of n=-4 in the equation $- 3 |2 n + 5| = - 9$

$\begin{matrix} - 3 | 2 \times - 4 + 5 | = - 3 | - 8 + 5 | \\ = - 3 | - 3 | \\ = - 9 \end{matrix}$

The solution is -1 or -4. Hence, the solution set is $(- 4, - 1)$ .

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Solve each equation. Check your solution
$- 3 |2 n + 5| = - 9$

Short Answer

Step by step solution

Step1- Order for solving the equation

Step2- Solve the equations

Step3- Check the solutions

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Solve each equation. Check your solution-32n+5=-9

Short Answer

Step by step solution

Step1- Order for solving the equation

Step2- Solve the equations

Step3- Check the solutions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation. Check your solution
$- 3 |2 n + 5| = - 9$