Question

Solve each equation and check. $$ \frac{4 r}{5}-\frac{r}{10}=7 $$

   Solve each equation and check.
$$
\frac{4 r}{5}-\frac{r}{10}=7
$$

Intermediate Algebra

Intermediate Algebra

Elayn Martin-Gay 6th Edition

Chapter 2, Problem 26

Instant Answer

Solved by Expert Xiaomeng Zhang

07/15/2020

Step 1

Step 1: Multiply both sides of the equation by 10 to eliminate the fractions: $$ 10 \cdot \frac{4 r}{5}-10 \cdot \frac{r}{10}=10 \cdot 7 $$ This simplifies to: $$ 8r - r = 70 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Solve each equation and check. $$ \frac{4 r}{5}-\frac{r}{10}=7 $$

Play audio

Feedback

Powered by NumerAI

Xiaomeng Zhang and 68 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Solving such equations involves isolating the variable, which is a fundamental skill in algebra and is applicable across various areas of mathematics.

Fraction Arithmetic

Fraction arithmetic involves operations such as addition, subtraction, multiplication, and division with fractions. Understanding how to manipulate fractions is essential when they appear in equations, as it allows you to combine or eliminate them to simplify the problem.

Common Denominators

Using common denominators is a technique used to combine fractions by rewriting them so that they have the same denominator. This method is particularly useful when solving equations that involve fractional expressions, as it enables straightforward addition or subtraction of the terms.

Solution Verification

Solution verification is the process of substituting the found solution back into the original equation to confirm that it satisfies the equation. This is a crucial step to ensure that no mistakes were made during the solving process and to validate the correctness of the result.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later