/*! 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} Q. 44 聽Algebra Basics Solve the equat... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q. 44 (page 122)

Algebra Basics Solve the equation. Check your solution. (Lesson 2.5)

d-22=-43

Short Answer

Expert verified

The solution for the equation d-22=-43 is d=-21.

Step by step solution

01

.  Separate the variable and constants

Write the original equation and separate the variables.

d鈭�22=鈭�43鈥嬧赌�[鈥嬧赌媁riteoriginalequation.鈥嬧赌�]鈥嬧赌�d鈭�22+22=鈭�43+22鈥嬧赌�[鈥嬧赌婣dd22toeachside.鈥嬧赌�]鈥嬧赌�

02

.  Simplify both sides

Simplify the equation on both sides to solve it.

d=鈭�43+22d=鈭�21

Therefore, the solution of the equation is d=-21.

03

.  Check the solution 

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

d-22=-43

Now, substitute d=-21and check the result.

鈭�21鈭�22=鈭�43鈥嬧赌�[鈥嬧赌婼ubstitute鈭�21ford.鈥嬧赌�]鈥嬧赌�鈭�43=鈭�43

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.

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

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.

Explain how the graph of x>5 is different from the graph of x鈮�5.

Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

Solve the equation. Check your solution.

5+2(x-2)=19

Find the value of a variable that, when substituted into an inequality, makes a true statement is a(n)鈥︹��.

See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

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.