/*! 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

Write an inequality represented by the graph.

Solve the inequality. Graph and check your solution.

7鈮�5x-3

Amusement Parks You are trying to decide whether to pay \(120 for a season pass to an amusement park. If you buy the pass, you get an unlimited number of visits to the park and reduced parking for \)8. If you do not buy the pass, you pay \(23 admission and \)10 for parking each time you visit the park. After how many visits to the park will the cost of visiting with the season pass be less than cost of visiting without the season pass?

  1. Write a variable expression for the cost of making v visits to the park if you don鈥檛 buy a season pass.
  2. Write an inequality in terms of v showing that the cost of visiting the park with a season pass is less than the cost of visiting the park without a season pass.
  3. Solve the inequality.

What are equivalent inequalities?

Challenge The figure shown is composed of a triangle and a rectangle. The figure has a total area of 1258 square units. Find the value of x.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

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.