Chapter 3: Q. 22 (page 127)

Solve the equation. Check your solution.
$- 5 (2 w + 1) = 25$

Short Answer

Expert verified

The solution for the equation $- 5 (2 w + 1) = 25$ is $w = - 3$ .

Step by step solution

– Separate the variable and constants

Write the original equation and separate the variable and constants.

$\begin{matrix} - 5 (2 w + 1) = 25 \\ - 10 w - 5 = 25 [distributiveproperty] \\ - 10 w - 5 + 5 = 25 + 5 [add5toeachside] \\ - 10 w = 30 \end{matrix}$

– Solve for w

Now, divide both sides of the equation by 10.

$\begin{matrix} \frac{- 10 w}{10} = \frac{30}{10} \\ - w = 3 \\ w = - 3 \end{matrix}$

Therefore, the solution of the equation is $w = - 3$ .

– Check the solution

To check the solution, write the original equation and substitute the value of w.

$12 = 3 (m - 17)$

Now, substitute $w = - 3$ and check the result.

$\begin{matrix} - 5 (2 (- 3) + 1) = 25 \\ - 5 (- 6 + 1) = 25 \\ - 5 (- 5) = 25 \\ 25 = 25 \end{matrix}$

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the equation. Check your solution.
$- 5 (2 w + 1) = 25$

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for w

– Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Probability and Statistics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.-52w+1=25

Short Answer

Step by step solution

– Separate the variable and constants

– Solve for w

– Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Probability and Statistics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$- 5 (2 w + 1) = 25$