Problem 338 In the following exercises, solv... [FREE SOLUTION]

91影视

Prealgebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2016 Edition

Chapter 5: Problem 338

In the following exercises, solve the equation. Then check your solution. $$ -3.6 b=2.52 $$

Short Answer

Expert verified

The solution is $ b = -0.7 $.

Step by step solution

Isolate the variable

To solve for the variable $ b $, divide both sides of the equation by $-3.6$: \[ b = \frac{2.52}{-3.6} \]

Simplify the fraction

Divide $ 2.52 $ by $ -3.6 $:\[ b = \frac{2.52}{-3.6} = -0.7 \]

Check the solution

Substitute $ b = -0.7 $ back into the original equation to verify: \[ -3.6 \times -0.7 = 2.52 \] Since both sides are equal, 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.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Isolating the variable

To solve the equation, the first step is isolating the variable. This means we need to get the variable, in this case, $ b $, by itself on one side of the equation.
In our example, the equation is: $$ -3.6b = 2.52 $$To isolate $ b $, we divide both sides of the equation by the coefficient of $ b $, which is $ -3.6 $.
This looks like: $$ b = \frac{2.52}{-3.6} $$Now $ b $ is isolated, and we are ready to proceed to the next step.
Remember, isolating the variable helps us see the value of $ b $ directly.

Simplifying fractions

Once the variable is isolated, we'll often end up with a fraction.
In our example, we have:$$ b = \frac{2.52}{-3.6} $$To simplify this fraction, you divide the numerator (2.52) by the denominator (-3.6).
When you do the division, you get:$$ b = -0.7 $$Why is simplifying fractions important? It helps us get a clean, clear value for the variable.
This makes our solution easier to understand and use. Here, we get $ b = -0.7 $.

Checking solutions

The final step is to check our solution.
This ensures we've solved the equation correctly.
To do this, substitute $ b = -0.7 $ back into the original equation: $$ -3.6 \times -0.7 = 2.52 $$When you multiply these values, you get 2.52, which matches the original equation's right-hand side.By checking the solution, we are confirming our work and trust in our result.
It's a crucial step to avoid mistakes and ensure accuracy in our solutions.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

In the following exercises, solve the equation. Then check your solution. $$ -3.6 b=2.52 $$

Short Answer

Step by step solution

Isolate the variable

Simplify the fraction

Check the solution

Key Concepts

Isolating the variable

Simplifying fractions

Checking solutions

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Pure Maths

Calculus

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.