/*! 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 2.12 Classify the equation as a condi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q 2.12 (page 104)

Classify the equation as a conditional equation, an identity, or a contradiction and then state the solution:

8(1-3x)+15(2x+7)=2(x+50)+4(x+3)+1

Short Answer

Expert verified

The equation is an identity and the solution is all real numbers.

Step by step solution

01

Step 1. Given information.

The given equation is8(1-3x)+15(2x+7)=2(x+50)+4(x+3)+1.

02

Step 2. Use the Distributive Property to remove any parentheses. 

Combine like terms and simplify.

8(1-3x)+15(2x+7)=2(x+50)+4(x+3)+18-24x+30x+105=2x+100+4x+12+16x+113=6x+1136x-6x+113=6x-6x+113113=113

This is a true statement.

Thus, the equation is an identity and the solution is all real numbers.

03

Step 4. Conclusion.

The equation is an identity and the solution is all real numbers.

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

The length of a rectangle is five inches more than twice the width. The perimeter is 34 inches. Find the length and width.

Solve the inequality, graph the solution on the number line and write the solution in the interval notation.

4k-k-2鈮�7k-26

Solve the linear inequality. Graph the solution on the number line and write the solution in the interval notation.

13q<7q-29

Classify the below equation as a conditional equation, an identity, or a contradiction, and then state the solution.

302n-1=510n+8

The sum of three times a number and seven is twenty-five. Find the number.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.