/*! 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} Q18. Solve the equation. Check your s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q18. (page 133)

Solve the equation. Check your solution.

14a-93=49-57a

Short Answer

Expert verified

The solution for the equation 14a-93=49-57a is a=2.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

14a鈭�93=49鈭�57a14a+57a鈭�93=49鈭�57a+57aadd57atobothsides71a鈭�93=49simplify71a鈭�93+93=49+93add93tobothsides71a=142simplify

02

– Solve for a

Now, divide both sides of the equation by 71.

71a71=14271a=2

Therefore, the solution of the equation is a=2.

03

– Check the solution 

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

14a-93=49-57a

Now, substitute a=2 and check the result.

14脳2鈭�93=49鈭�57脳228鈭�93=49鈭�114鈭�65=鈭�65

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

Find whether the number 8 is a solution of -5<n.

Solve the equation. Check your solution.2=4(3k-8)-11k

Explain why the equation 5z + 2 = 5z has no solution.

Solve the inequality. Graph and check your solution.

x+2>-3

Solve the inequality. Graph your solution.

n6>7
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

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.