/*! 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. 510 In the following exercises, clas... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercises, classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.

−8(7m+4)=−6(8m+9).

Short Answer

Expert verified

It is a conditional equation. The solution is m=114.

Step by step solution

01

 Given 

The given equation is −8(7m+4)=−6(8m+9)

02

 To find

We have to classify each equation as a conditional equation, an identity, or a contradiction and then state the solution.

03

 Calculation

−8(7m+4)=−6(8m+9)-56m-32=-48m-54

Since both sides are not equal and both sides have m, it will be true for a particular value of m.

So it is a conditional equation.

-56m-32=-48m-54-56m+48m=-54+32-8m=-22m=-22-8m=114

Hence, the solution ism=114.

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 91Ó°ÊÓ!

One App. One Place for Learning.

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

Get started for free

Study anywhere. Anytime. Across all devices.