/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q9. Describe and correct the error i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q9. (page 133)

Describe and correct the error in solving the equation

4x + 7 = x 鈥� 2

Short Answer

Expert verified

The error is in first step where the sum of x and -4x is written as 3x instead of -3x.

The correct solution of the equation will be x=-3

Step by step solution

01

Step-1 – Given

The given equation is 4x+7=x-2.

02

Step-2 – To determine

We have to describe and correct the error..

03

Step-3 – Calculation

The provided solution of the equation is:

4x+7=x鈭�24x+7鈭�4x=x鈭�2鈭�4x7=3x鈭�27+2=3x鈭�2+29=3x3=x

From, the given solution, we see that the error occurred in first step where the sum of x and -4x is written as 3xinstead of -3x.

The solution can be obtained correctly as:

4x+7=x鈭�2writetheoriginalequation4x鈭�x+7=x鈭�x鈭�2subtractxfrombothsides3x+7=0鈭�2simplify3x+7鈭�7=鈭�2鈭�7subtract7frombothsides3x=鈭�9simplify3x3=鈭�93divideeachby3x=鈭�3simplify

So, the correct solution of the equation is x=-3

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!

One App. One Place for Learning.

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

Get started for free

Most popular questions from this chapter

Solve the inequality. Graph your solution.

-7s鈮�14.

Solve the inequality. Graph and check your solution.

1鈮�x-9

Identify the like terms you would combine to solve the following equation:鈭�3x+5鈭�2x+8=12

Solve the equation. Check your solution.

25u+74=23u+92

Question: Cell Phones

Your cell phone provider charges a monthly fee of \(19.50 for 200 minutes. You are also charged \).25 per minute for each minute over 200 minutes. Last, you bill was $29.50.

a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.

b. Solve the equation you wrote in part a.

c. How many additional minutes did you use last month?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.