Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 7.4, Problem 4CGP
To determine

the solution of the proportion 9b−39=5b+53 .

Expert Solution & Answer
Check Mark

Answer to Problem 4CGP

  b=−3

Explanation of Solution

Given:

The proportion, 9b−39=5b+53 .

Concept Used:

  • To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
  • To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
  • To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
  • To get rid of a number in division from one side, multiply the same number both sides of equal sign.

    • Rules of Addition/ Subtraction:

  • Two numbers with similar sign always get added and the resulting number will carry the similar sign.
  • Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

    • Rules of Multiplication/ Division:

  • The product/quotient of two similar sign numbers is always positive.
  • The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to solve the given equation 9b−39=5b+53 for the variable, isolate the variable term b on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.

Here to isolate b on both side, first multiply both sides by 3 and then multiply both sides by 3 and then subtract both sides by 9b and then subtract both sides by 15 and then simplify further divide both sides by 6 as shown below,

  9b−39=5b+533⋅(9b−3)9=3⋅(5b+5)39b−33=5b+59b−33⋅3=3⋅(5b+5)9b−3=15b+159b−3−9b=15b+15−9b−3=6b+15−3−15=6b+15−15−18=6b−186=6b6−3=b⇒b=−3

Thus, the solution of the proportion is b=−3 .

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Chapter 7.4, Problem 4BGP
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Chapter 7.4, Problem 4DGP

Chapter 7 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 7.1 - Prob. 1AGPCh. 7.1 - Prob. 1BGPCh. 7.1 - Prob. 1CGPCh. 7.1 - Prob. 1DGPCh. 7.1 - Prob. 2AGPCh. 7.1 - Prob. 2BGPCh. 7.1 - Prob. 3GPCh. 7.1 - Prob. 4AGPCh. 7.1 - Prob. 4BGPCh. 7.1 - Prob. 5GP
Ch. 7.1 - Prob. 1CYUCh. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - Prob. 4CYUCh. 7.1 - Prob. 5CYUCh. 7.1 - Prob. 6CYUCh. 7.1 - Prob. 7CYUCh. 7.1 - Prob. 8CYUCh. 7.1 - Prob. 9CYUCh. 7.1 - Prob. 10CYUCh. 7.1 - Prob. 11CYUCh. 7.1 - Prob. 12CYUCh. 7.1 - Prob. 13CYUCh. 7.1 - Prob. 14CYUCh. 7.1 - Prob. 15CYUCh. 7.1 - Prob. 16CYUCh. 7.1 - Prob. 17CYUCh. 7.1 - Prob. 18CYUCh. 7.1 - Prob. 19CYUCh. 7.1 - Prob. 20CYUCh. 7.1 - Prob. 21PPSCh. 7.1 - Prob. 22PPSCh. 7.1 - Prob. 23PPSCh. 7.1 - Prob. 24PPSCh. 7.1 - Prob. 25PPSCh. 7.1 - Prob. 26PPSCh. 7.1 - Prob. 27PPSCh. 7.1 - Prob. 28PPSCh. 7.1 - Prob. 29PPSCh. 7.1 - Prob. 30PPSCh. 7.1 - Prob. 31PPSCh. 7.1 - Prob. 32PPSCh. 7.1 - Prob. 33PPSCh. 7.1 - Prob. 34PPSCh. 7.1 - Prob. 35PPSCh. 7.1 - Prob. 36PPSCh. 7.1 - Prob. 37PPSCh. 7.1 - Prob. 38PPSCh. 7.1 - Prob. 39PPSCh. 7.1 - Prob. 40PPSCh. 7.1 - Prob. 41PPSCh. 7.1 - Prob. 42PPSCh. 7.1 - Prob. 43PPSCh. 7.1 - Prob. 44PPSCh. 7.1 - Prob. 45PPSCh. 7.1 - Prob. 46PPSCh. 7.1 - Prob. 47PPSCh. 7.1 - Prob. 48PPSCh. 7.1 - 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Prob. 7CGPCh. 7.4 - Prob. 7DGPCh. 7.4 - Prob. 8AGPCh. 7.4 - Prob. 8BGPCh. 7.4 - Prob. 8CGPCh. 7.4 - Prob. 8DGPCh. 7.4 - Prob. 9GPCh. 7.4 - Prob. 1CYUCh. 7.4 - Prob. 2CYUCh. 7.4 - Prob. 3CYUCh. 7.4 - Prob. 4CYUCh. 7.4 - Prob. 5CYUCh. 7.4 - Prob. 6CYUCh. 7.4 - Prob. 7CYUCh. 7.4 - Prob. 8CYUCh. 7.4 - Prob. 9CYUCh. 7.4 - Prob. 10CYUCh. 7.4 - Prob. 11CYUCh. 7.4 - Prob. 12CYUCh. 7.4 - Prob. 13CYUCh. 7.4 - Prob. 14CYUCh. 7.4 - Prob. 15CYUCh. 7.4 - Prob. 16CYUCh. 7.4 - Prob. 17CYUCh. 7.4 - Prob. 18CYUCh. 7.4 - Prob. 19CYUCh. 7.4 - Prob. 20CYUCh. 7.4 - Prob. 21CYUCh. 7.4 - Prob. 22CYUCh. 7.4 - Prob. 23CYUCh. 7.4 - Prob. 24CYUCh. 7.4 - Prob. 25CYUCh. 7.4 - Prob. 26CYUCh. 7.4 - Prob. 27CYUCh. 7.4 - Prob. 28CYUCh. 7.4 - Prob. 29CYUCh. 7.4 - Prob. 30PPSCh. 7.4 - Prob. 31PPSCh. 7.4 - Prob. 32PPSCh. 7.4 - Prob. 33PPSCh. 7.4 - Prob. 34PPSCh. 7.4 - Prob. 35PPSCh. 7.4 - Prob. 36PPSCh. 7.4 - Prob. 37PPSCh. 7.4 - Prob. 38PPSCh. 7.4 - Prob. 39PPSCh. 7.4 - Prob. 40PPSCh. 7.4 - Prob. 41PPSCh. 7.4 - Prob. 42PPSCh. 7.4 - 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Prob. 4CYUCh. 7.7 - Prob. 5CYUCh. 7.7 - Prob. 6CYUCh. 7.7 - Prob. 7CYUCh. 7.7 - Prob. 8CYUCh. 7.7 - Prob. 9PPSCh. 7.7 - Prob. 10PPSCh. 7.7 - Prob. 11PPSCh. 7.7 - Prob. 12PPSCh. 7.7 - Prob. 13PPSCh. 7.7 - Prob. 14PPSCh. 7.7 - Prob. 15PPSCh. 7.7 - Prob. 16PPSCh. 7.7 - Prob. 17PPSCh. 7.7 - Prob. 18PPSCh. 7.7 - Prob. 19PPSCh. 7.7 - Prob. 20PPSCh. 7.7 - Prob. 21PPSCh. 7.7 - Prob. 22PPSCh. 7.7 - Prob. 23PPSCh. 7.7 - Prob. 24PPSCh. 7.7 - Prob. 25PPSCh. 7.7 - Prob. 26PPSCh. 7.7 - Prob. 27PPSCh. 7.7 - Prob. 28PPSCh. 7.7 - Prob. 29PPSCh. 7.7 - Prob. 30HPCh. 7.7 - Prob. 31HPCh. 7.7 - Prob. 32HPCh. 7.7 - Prob. 33HPCh. 7.7 - Prob. 34HPCh. 7.7 - Prob. 35PFACh. 7.7 - Prob. 36PFACh. 7.7 - Prob. 37PFACh. 7.7 - Prob. 38PFACh. 7.7 - Prob. 39PFACh. 7.7 - Prob. 40PFACh. 7.7 - Prob. 41PFACh. 7.7 - Prob. 42PFACh. 7.8 - Prob. 1GPCh. 7.8 - Prob. 2GPCh. 7.8 - Prob. 1CYUCh. 7.8 - Prob. 2CYUCh. 7.8 - Prob. 3PPSCh. 7.8 - Prob. 4PPSCh. 7.8 - Prob. 5PPSCh. 7.8 - Prob. 6PPSCh. 7.8 - Prob. 7PPSCh. 7.8 - Prob. 8HPCh. 7.8 - Prob. 9HPCh. 7.8 - Prob. 10HPCh. 7.8 - Prob. 11HPCh. 7.8 - Prob. 12PFACh. 7.8 - Prob. 13PFACh. 7.8 - Prob. 14PFACh. 7.8 - Prob. 15PFACh. 7.8 - Prob. 16PFACh. 7.8 - Prob. 17PFACh. 7.8 - Prob. 18PFACh. 7.9 - Prob. 1AGPCh. 7.9 - Prob. 1BGPCh. 7.9 - Prob. 1CGPCh. 7.9 - Prob. 2AGPCh. 7.9 - Prob. 2BGPCh. 7.9 - Prob. 3GPCh. 7.9 - Prob. 4GPCh. 7.9 - Prob. 1CYUCh. 7.9 - Prob. 2CYUCh. 7.9 - Prob. 3CYUCh. 7.9 - Prob. 4CYUCh. 7.9 - Prob. 5CYUCh. 7.9 - Prob. 6CYUCh. 7.9 - Prob. 7CYUCh. 7.9 - Prob. 8CYUCh. 7.9 - Prob. 9CYUCh. 7.9 - Prob. 10CYUCh. 7.9 - Prob. 11CYUCh. 7.9 - Prob. 12CYUCh. 7.9 - Prob. 13CYUCh. 7.9 - Prob. 14PPSCh. 7.9 - Prob. 15PPSCh. 7.9 - Prob. 16PPSCh. 7.9 - Prob. 17PPSCh. 7.9 - Prob. 18PPSCh. 7.9 - Prob. 19PPSCh. 7.9 - Prob. 20PPSCh. 7.9 - Prob. 21PPSCh. 7.9 - Prob. 22PPSCh. 7.9 - Prob. 23PPSCh. 7.9 - Prob. 24PPSCh. 7.9 - Prob. 25PPSCh. 7.9 - Prob. 26PPSCh. 7.9 - Prob. 27PPSCh. 7.9 - Prob. 28PPSCh. 7.9 - Prob. 29PPSCh. 7.9 - Prob. 30PPSCh. 7.9 - Prob. 31PPSCh. 7.9 - Prob. 32PPSCh. 7.9 - Prob. 33PPSCh. 7.9 - Prob. 34PPSCh. 7.9 - Prob. 35PPSCh. 7.9 - Prob. 36PPSCh. 7.9 - Prob. 37PPSCh. 7.9 - Prob. 38HPCh. 7.9 - Prob. 39HPCh. 7.9 - Prob. 40HPCh. 7.9 - Prob. 41HPCh. 7.9 - Prob. 42HPCh. 7.9 - Prob. 43PFACh. 7.9 - Prob. 44PFACh. 7.9 - Prob. 45PFACh. 7.9 - Prob. 46PFACh. 7.9 - Prob. 47PFACh. 7.9 - Prob. 48PFACh. 7.9 - Prob. 49PFACh. 7.10 - Prob. 1AGPCh. 7.10 - Prob. 1BGPCh. 7.10 - Prob. 2GPCh. 7.10 - Prob. 3GPCh. 7.10 - Prob. 4AGPCh. 7.10 - Prob. 4BGPCh. 7.10 - Prob. 1CYUCh. 7.10 - Prob. 2CYUCh. 7.10 - Prob. 3CYUCh. 7.10 - Prob. 4CYUCh. 7.10 - Prob. 5CYUCh. 7.10 - Prob. 6CYUCh. 7.10 - Prob. 7CYUCh. 7.10 - Prob. 8CYUCh. 7.10 - Prob. 9CYUCh. 7.10 - Prob. 10PPSCh. 7.10 - Prob. 11PPSCh. 7.10 - Prob. 12PPSCh. 7.10 - Prob. 13PPSCh. 7.10 - Prob. 14PPSCh. 7.10 - Prob. 15PPSCh. 7.10 - Prob. 16PPSCh. 7.10 - Prob. 17PPSCh. 7.10 - Prob. 18PPSCh. 7.10 - Prob. 19PPSCh. 7.10 - Prob. 20PPSCh. 7.10 - Prob. 21PPSCh. 7.10 - Prob. 22PPSCh. 7.10 - Prob. 23PPSCh. 7.10 - Prob. 24PPSCh. 7.10 - Prob. 25PPSCh. 7.10 - Prob. 26PPSCh. 7.10 - Prob. 27PPSCh. 7.10 - Prob. 28PPSCh. 7.10 - Prob. 29PPSCh. 7.10 - Prob. 30PPSCh. 7.10 - Prob. 31HPCh. 7.10 - Prob. 32HPCh. 7.10 - Prob. 33HPCh. 7.10 - Prob. 34HPCh. 7.10 - Prob. 35HPCh. 7.10 - Prob. 36PFACh. 7.10 - Prob. 37PFACh. 7.10 - Prob. 38PFACh. 7.10 - Prob. 39PFACh. 7.10 - Prob. 40PFACh. 7 - Prob. 1MCQCh. 7 - Prob. 2MCQCh. 7 - Prob. 3MCQCh. 7 - Prob. 4MCQCh. 7 - Prob. 5MCQCh. 7 - Prob. 6MCQCh. 7 - Prob. 7MCQCh. 7 - Prob. 8MCQCh. 7 - Prob. 9MCQCh. 7 - Prob. 10MCQCh. 7 - Prob. 11MCQCh. 7 - Prob. 12MCQCh. 7 - Prob. 13MCQCh. 7 - Prob. 14MCQCh. 7 - Prob. 15MCQCh. 7 - Prob. 16MCQCh. 7 - Prob. 17MCQCh. 7 - Prob. 18MCQCh. 7 - Prob. 19MCQCh. 7 - Prob. 20MCQCh. 7 - Prob. 21MCQCh. 7 - Prob. 22MCQCh. 7 - Prob. 23MCQCh. 7 - Prob. 24MCQCh. 7 - Prob. 25MCQCh. 7 - Prob. 26MCQCh. 7 - Prob. 27MCQCh. 7 - Prob. 1SGRCh. 7 - Prob. 2SGRCh. 7 - Prob. 3SGRCh. 7 - Prob. 4SGRCh. 7 - Prob. 5SGRCh. 7 - Prob. 6SGRCh. 7 - Prob. 7SGRCh. 7 - Prob. 8SGRCh. 7 - Prob. 9SGRCh. 7 - Prob. 10SGRCh. 7 - Prob. 11SGRCh. 7 - Prob. 12SGRCh. 7 - Prob. 13SGRCh. 7 - Prob. 14SGRCh. 7 - Prob. 15SGRCh. 7 - Prob. 16SGRCh. 7 - Prob. 17SGRCh. 7 - Prob. 18SGRCh. 7 - Prob. 19SGRCh. 7 - Prob. 20SGRCh. 7 - Prob. 21SGRCh. 7 - Prob. 22SGRCh. 7 - Prob. 23SGRCh. 7 - Prob. 24SGRCh. 7 - Prob. 25SGRCh. 7 - Prob. 26SGRCh. 7 - Prob. 27SGRCh. 7 - Prob. 28SGRCh. 7 - Prob. 29SGRCh. 7 - Prob. 30SGRCh. 7 - Prob. 31SGRCh. 7 - Prob. 32SGRCh. 7 - Prob. 33SGRCh. 7 - Prob. 34SGRCh. 7 - Prob. 35SGRCh. 7 - Prob. 36SGRCh. 7 - Prob. 37SGRCh. 7 - Prob. 38SGRCh. 7 - Prob. 39SGRCh. 7 - Prob. 40SGRCh. 7 - Prob. 41SGRCh. 7 - Prob. 42SGRCh. 7 - Prob. 43SGRCh. 7 - Prob. 44SGRCh. 7 - Prob. 45SGRCh. 7 - Prob. 46SGRCh. 7 - Prob. 47SGRCh. 7 - Prob. 48SGRCh. 7 - Prob. 49SGRCh. 7 - Prob. 50SGRCh. 7 - Prob. 51SGRCh. 7 - Prob. 52SGRCh. 7 - Prob. 53SGRCh. 7 - Prob. 54SGRCh. 7 - Prob. 55SGRCh. 7 - Prob. 56SGRCh. 7 - Prob. 57SGRCh. 7 - Prob. 58SGRCh. 7 - Prob. 59SGRCh. 7 - Prob. 60SGRCh. 7 - Prob. 61SGRCh. 7 - Prob. 62SGRCh. 7 - Prob. 63SGRCh. 7 - Prob. 64SGRCh. 7 - Prob. 65SGRCh. 7 - Prob. 66SGRCh. 7 - Prob. 67SGRCh. 7 - Prob. 68SGRCh. 7 - Prob. 69SGRCh. 7 - Prob. 70SGRCh. 7 - Prob. 71SGRCh. 7 - Prob. 72SGRCh. 7 - Prob. 73SGRCh. 7 - Prob. 74SGRCh. 7 - Prob. 75SGRCh. 7 - Prob. 76SGRCh. 7 - Prob. 77SGRCh. 7 - Prob. 78SGRCh. 7 - Prob. 79SGRCh. 7 - Prob. 80SGRCh. 7 - Prob. 81SGRCh. 7 - Prob. 1PTCh. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PTCh. 7 - Prob. 10PTCh. 7 - Prob. 11PTCh. 7 - Prob. 12PTCh. 7 - Prob. 13PTCh. 7 - Prob. 14PTCh. 7 - Prob. 15PTCh. 7 - Prob. 16PTCh. 7 - Prob. 17PTCh. 7 - Prob. 18PTCh. 7 - Prob. 19PTCh. 7 - Prob. 20PTCh. 7 - Prob. 21PTCh. 7 - Prob. 22PTCh. 7 - Prob. 23PTCh. 7 - Prob. 24PTCh. 7 - Prob. 25PTCh. 7 - Prob. 26PTCh. 7 - Prob. 27PTCh. 7 - Prob. 28PTCh. 7 - Prob. 29PTCh. 7 - Prob. 30PTCh. 7 - Prob. 31PTCh. 7 - Prob. 32PTCh. 7 - Prob. 33PTCh. 7 - Prob. 34PTCh. 7 - Prob. 35PTCh. 7 - Prob. 36PTCh. 7 - Prob. 37PTCh. 7 - Prob. 1PFACh. 7 - Prob. 2PFACh. 7 - Prob. 3PFACh. 7 - Prob. 4PFACh. 7 - Prob. 5PFACh. 7 - Prob. 6PFACh. 7 - Prob. 7PFACh. 7 - Prob. 8PFACh. 7 - Prob. 9PFACh. 7 - Prob. 10PFACh. 7 - Prob. 11PFACh. 7 - Prob. 12PFACh. 7 - Prob. 13PFACh. 7 - Prob. 14PFACh. 7 - Prob. 15PFA

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