Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Question
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Chapter 9.7, Problem 16P
To determine

To solve: the system of two equations in two variables.

Expert Solution & Answer
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Answer to Problem 16P

The fraction is 817 .

Explanation of Solution

Given information:

The denominator of a fraction is 9 more than the numerator. If the numerator is decreased by 3 and the denominator is increased by 3, the value of the resulting fraction is 14 .

Formula used:

Fraction problem

Step1. The problem asks for .

Step2. Let n = the numerator of the fraction

Let d = the denominator of the fraction.

Then nd=the fraction .

Step3. Use the facts of the problem to write two equations.

Step4. Solve the equations.

Calculation:

Consider ,

Let n = the numerator of the fraction.

The denominator of a fraction

  =d=n+9                           (i)

Therefore, the fraction is nn+9 .

    FractionNumerator is decreased by 3 and the denominator is increased by 3
    Numeratorn−3
    Denominator=n+9+3=n+12

According to the question,

  =n−3n+12=14                      (ii)

Solving the fraction we get,

  =4(n−3)=1(n+12)=4n−12=n+12=4n−n=12+12=3n=24=n=8                                  (iii)

Putting equation (iii) in (i) we get,

  =d=8+9=d=17

Therefore, the numerator is 8 and the denominator is 17.

Hence, the fraction is 817 .

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Chapter 9.7, Problem 15P
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Chapter 9.7, Problem 17P

Chapter 9 Solutions

Algebra: Structure And Method, Book 1

Ch. 9.1 - Prob. 1OECh. 9.1 - Prob. 2OECh. 9.1 - Prob. 3OECh. 9.1 - Prob. 4OECh. 9.1 - Prob. 5OECh. 9.1 - Prob. 6OECh. 9.1 - Prob. 7OECh. 9.1 - Prob. 8OECh. 9.1 - Prob. 9OECh. 9.1 - Prob. 1WE
Ch. 9.1 - Prob. 2WECh. 9.1 - Prob. 3WECh. 9.1 - Prob. 4WECh. 9.1 - Prob. 5WECh. 9.1 - Prob. 6WECh. 9.1 - Prob. 7WECh. 9.1 - Prob. 8WECh. 9.1 - Prob. 9WECh. 9.1 - Prob. 10WECh. 9.1 - Prob. 11WECh. 9.1 - Prob. 12WECh. 9.1 - Prob. 13WECh. 9.1 - Prob. 14WECh. 9.1 - Prob. 15WECh. 9.1 - Prob. 16WECh. 9.1 - Prob. 17WECh. 9.1 - Prob. 18WECh. 9.1 - Prob. 19WECh. 9.1 - Prob. 20WECh. 9.1 - Prob. 21WECh. 9.1 - Prob. 22WECh. 9.1 - Prob. 23WECh. 9.1 - Prob. 24WECh. 9.1 - Prob. 1MRECh. 9.1 - Prob. 2MRECh. 9.1 - Prob. 3MRECh. 9.1 - Prob. 4MRECh. 9.1 - Prob. 5MRECh. 9.1 - Prob. 6MRECh. 9.1 - Prob. 1CECh. 9.1 - Prob. 2CECh. 9.1 - Prob. 3CECh. 9.1 - Prob. 4CECh. 9.2 - Prob. 1OECh. 9.2 - Prob. 2OECh. 9.2 - Prob. 3OECh. 9.2 - Prob. 4OECh. 9.2 - Prob. 5OECh. 9.2 - Prob. 6OECh. 9.2 - Prob. 7OECh. 9.2 - Prob. 8OECh. 9.2 - Prob. 9OECh. 9.2 - Prob. 10OECh. 9.2 - Prob. 11OECh. 9.2 - Prob. 12OECh. 9.2 - Prob. 1WECh. 9.2 - Prob. 2WECh. 9.2 - Prob. 3WECh. 9.2 - Prob. 4WECh. 9.2 - Prob. 5WECh. 9.2 - Prob. 6WECh. 9.2 - Prob. 7WECh. 9.2 - Prob. 8WECh. 9.2 - Prob. 9WECh. 9.2 - Prob. 10WECh. 9.2 - Prob. 11WECh. 9.2 - Prob. 12WECh. 9.2 - Prob. 13WECh. 9.2 - Prob. 14WECh. 9.2 - Prob. 15WECh. 9.2 - Prob. 16WECh. 9.2 - Prob. 17WECh. 9.2 - Prob. 18WECh. 9.2 - Prob. 19WECh. 9.2 - Prob. 20WECh. 9.2 - Prob. 21WECh. 9.2 - Prob. 22WECh. 9.2 - Prob. 23WECh. 9.2 - Prob. 24WECh. 9.2 - Prob. 25WECh. 9.2 - Prob. 26WECh. 9.2 - Prob. 27WECh. 9.2 - Prob. 28WECh. 9.2 - Prob. 29WECh. 9.2 - Prob. 30WECh. 9.2 - Prob. 31WECh. 9.2 - Prob. 32WECh. 9.2 - Prob. 33WECh. 9.2 - Prob. 34WECh. 9.2 - Prob. 35WECh. 9.2 - Prob. 36WECh. 9.2 - Prob. 37WECh. 9.2 - Prob. 38WECh. 9.2 - Prob. 39WECh. 9.2 - Prob. 40WECh. 9.2 - Prob. 41WECh. 9.2 - Prob. 1MRECh. 9.2 - Prob. 2MRECh. 9.2 - Prob. 3MRECh. 9.2 - Prob. 4MRECh. 9.2 - Prob. 5MRECh. 9.2 - Prob. 6MRECh. 9.2 - Prob. 7MRECh. 9.2 - Prob. 8MRECh. 9.2 - Prob. 9MRECh. 9.2 - Prob. 10MRECh. 9.2 - Prob. 11MRECh. 9.2 - Prob. 12MRECh. 9.3 - Prob. 1OECh. 9.3 - Prob. 2OECh. 9.3 - Prob. 3OECh. 9.3 - Prob. 4OECh. 9.3 - Prob. 5OECh. 9.3 - Prob. 6OECh. 9.3 - Prob. 7OECh. 9.3 - Prob. 8OECh. 9.3 - Prob. 9OECh. 9.3 - Prob. 10OECh. 9.3 - Prob. 11OECh. 9.3 - Prob. 12OECh. 9.3 - Prob. 1PCh. 9.3 - Prob. 2PCh. 9.3 - Prob. 3PCh. 9.3 - Prob. 4PCh. 9.3 - Prob. 5PCh. 9.3 - Prob. 6PCh. 9.3 - Prob. 7PCh. 9.3 - Prob. 8PCh. 9.3 - Prob. 9PCh. 9.3 - Prob. 10PCh. 9.3 - Prob. 11PCh. 9.3 - Prob. 12PCh. 9.3 - Prob. 13PCh. 9.3 - Prob. 14PCh. 9.3 - Prob. 15PCh. 9.3 - Prob. 16PCh. 9.3 - Prob. 17PCh. 9.3 - Prob. 18PCh. 9.3 - Prob. 19PCh. 9.3 - Prob. 20PCh. 9.3 - Prob. 21PCh. 9.3 - Prob. 22PCh. 9.3 - Prob. 1MRECh. 9.3 - Prob. 2MRECh. 9.3 - Prob. 3MRECh. 9.3 - Prob. 4MRECh. 9.3 - Prob. 5MRECh. 9.3 - Prob. 6MRECh. 9.3 - Prob. 7MRECh. 9.3 - Prob. 8MRECh. 9.3 - Prob. 9MRECh. 9.3 - Prob. 10MRECh. 9.3 - Prob. 11MRECh. 9.3 - Prob. 12MRECh. 9.4 - Prob. 1OECh. 9.4 - Prob. 2OECh. 9.4 - Prob. 3OECh. 9.4 - Prob. 4OECh. 9.4 - Prob. 5OECh. 9.4 - Prob. 6OECh. 9.4 - Prob. 7OECh. 9.4 - Prob. 8OECh. 9.4 - Prob. 9OECh. 9.4 - Prob. 1WECh. 9.4 - Prob. 2WECh. 9.4 - Prob. 3WECh. 9.4 - Prob. 4WECh. 9.4 - Prob. 5WECh. 9.4 - Prob. 6WECh. 9.4 - Prob. 7WECh. 9.4 - Prob. 8WECh. 9.4 - Prob. 9WECh. 9.4 - Prob. 10WECh. 9.4 - Prob. 11WECh. 9.4 - Prob. 12WECh. 9.4 - Prob. 13WECh. 9.4 - Prob. 14WECh. 9.4 - Prob. 15WECh. 9.4 - Prob. 16WECh. 9.4 - Prob. 17WECh. 9.4 - Prob. 18WECh. 9.4 - Prob. 19WECh. 9.4 - Prob. 20WECh. 9.4 - Prob. 21WECh. 9.4 - Prob. 22WECh. 9.4 - Prob. 23WECh. 9.4 - Prob. 24WECh. 9.4 - Prob. 25WECh. 9.4 - Prob. 26WECh. 9.4 - Prob. 27WECh. 9.4 - Prob. 28WECh. 9.4 - Prob. 29WECh. 9.4 - Prob. 30WECh. 9.4 - Prob. 31WECh. 9.4 - Prob. 1PCh. 9.4 - Prob. 2PCh. 9.4 - Prob. 3PCh. 9.4 - Prob. 4PCh. 9.4 - Prob. 5PCh. 9.4 - Prob. 6PCh. 9.4 - Prob. 7PCh. 9.4 - Prob. 8PCh. 9.4 - Prob. 9PCh. 9.4 - Prob. 10PCh. 9.4 - Prob. 1MRECh. 9.4 - Prob. 2MRECh. 9.4 - Prob. 3MRECh. 9.4 - Prob. 4MRECh. 9.4 - Prob. 5MRECh. 9.4 - Prob. 6MRECh. 9.4 - Prob. 7MRECh. 9.4 - Prob. 8MRECh. 9.4 - Prob. 9MRECh. 9.4 - Prob. 10MRECh. 9.4 - Prob. 11MRECh. 9.4 - Prob. 12MRECh. 9.5 - Prob. 1OECh. 9.5 - Prob. 2OECh. 9.5 - Prob. 3OECh. 9.5 - Prob. 4OECh. 9.5 - Prob. 5OECh. 9.5 - Prob. 6OECh. 9.5 - Prob. 7OECh. 9.5 - Prob. 8OECh. 9.5 - Prob. 9OECh. 9.5 - Prob. 1WECh. 9.5 - Prob. 2WECh. 9.5 - Prob. 3WECh. 9.5 - Prob. 4WECh. 9.5 - Prob. 5WECh. 9.5 - Prob. 6WECh. 9.5 - Prob. 7WECh. 9.5 - Prob. 8WECh. 9.5 - Prob. 9WECh. 9.5 - Prob. 10WECh. 9.5 - Prob. 11WECh. 9.5 - Prob. 12WECh. 9.5 - Prob. 13WECh. 9.5 - Prob. 14WECh. 9.5 - Prob. 15WECh. 9.5 - Prob. 16WECh. 9.5 - Prob. 17WECh. 9.5 - Prob. 18WECh. 9.5 - Prob. 19WECh. 9.5 - Prob. 20WECh. 9.5 - Prob. 21WECh. 9.5 - Prob. 22WECh. 9.5 - Prob. 23WECh. 9.5 - Prob. 24WECh. 9.5 - Prob. 25WECh. 9.5 - Prob. 26WECh. 9.5 - Prob. 27WECh. 9.5 - Prob. 28WECh. 9.5 - Prob. 29WECh. 9.5 - Prob. 30WECh. 9.5 - Prob. 31WECh. 9.5 - Prob. 32WECh. 9.5 - Prob. 33WECh. 9.5 - Prob. 34WECh. 9.5 - Prob. 35WECh. 9.5 - Prob. 36WECh. 9.5 - Prob. 37WECh. 9.5 - Prob. 38WECh. 9.5 - Prob. 39WECh. 9.5 - Prob. 40WECh. 9.5 - Prob. 41WECh. 9.5 - Prob. 42WECh. 9.5 - Prob. 43WECh. 9.5 - Prob. 44WECh. 9.5 - Prob. 45WECh. 9.5 - Prob. 46WECh. 9.5 - Prob. 1MPCh. 9.5 - Prob. 2MPCh. 9.5 - Prob. 3MPCh. 9.5 - Prob. 4MPCh. 9.5 - Prob. 5MPCh. 9.5 - Prob. 6MPCh. 9.5 - Prob. 7MPCh. 9.5 - Prob. 8MPCh. 9.5 - Prob. 9MPCh. 9.5 - Prob. 10MPCh. 9.5 - Prob. 11MPCh. 9.5 - Prob. 12MPCh. 9.5 - Prob. 13MPCh. 9.5 - Prob. 14MPCh. 9.5 - Prob. 15MPCh. 9.5 - Prob. 16MPCh. 9.5 - Prob. 17MPCh. 9.5 - Prob. 18MPCh. 9.5 - Prob. 19MPCh. 9.5 - Prob. 20MPCh. 9.5 - Prob. 21MPCh. 9.5 - Prob. 22MPCh. 9.5 - Prob. 23MPCh. 9.5 - Prob. 24MPCh. 9.5 - Prob. 25MPCh. 9.5 - Prob. 26MPCh. 9.5 - Prob. 27MPCh. 9.5 - Prob. 1PCh. 9.5 - Prob. 2PCh. 9.5 - Prob. 3PCh. 9.5 - Prob. 4PCh. 9.5 - Prob. 5PCh. 9.5 - Prob. 6PCh. 9.5 - Prob. 7PCh. 9.5 - Prob. 8PCh. 9.5 - Prob. 9PCh. 9.5 - Prob. 10PCh. 9.5 - Prob. 11PCh. 9.5 - Prob. 12PCh. 9.5 - Prob. 13PCh. 9.5 - Prob. 14PCh. 9.5 - Prob. 15PCh. 9.5 - Prob. 16PCh. 9.5 - Prob. 17PCh. 9.5 - Prob. 18PCh. 9.5 - Prob. 19PCh. 9.5 - Prob. 20PCh. 9.5 - Prob. 21PCh. 9.5 - Prob. 22PCh. 9.5 - Prob. 23PCh. 9.5 - Prob. 24PCh. 9.5 - Prob. 25PCh. 9.5 - Prob. 26PCh. 9.5 - Prob. 27PCh. 9.5 - Prob. 28PCh. 9.5 - Prob. 29PCh. 9.5 - Prob. 30PCh. 9.5 - Prob. 31PCh. 9.5 - Prob. 32PCh. 9.5 - Prob. 1MRECh. 9.5 - Prob. 2MRECh. 9.5 - Prob. 3MRECh. 9.5 - Prob. 4MRECh. 9.5 - Prob. 5MRECh. 9.5 - Prob. 6MRECh. 9.5 - Prob. 7MRECh. 9.5 - Prob. 8MRECh. 9.5 - Prob. 9MRECh. 9.5 - Prob. 10MRECh. 9.5 - Prob. 1CECh. 9.5 - Prob. 2CECh. 9.5 - Prob. 3CECh. 9.5 - Prob. 1STCh. 9.5 - Prob. 2STCh. 9.5 - Prob. 3STCh. 9.5 - Prob. 4STCh. 9.5 - Prob. 5STCh. 9.5 - Prob. 6STCh. 9.5 - Prob. 7STCh. 9.5 - Prob. 8STCh. 9.5 - Prob. 9STCh. 9.6 - Prob. 1OECh. 9.6 - Prob. 2OECh. 9.6 - Prob. 3OECh. 9.6 - Prob. 4OECh. 9.6 - Prob. 5OECh. 9.6 - Prob. 6OECh. 9.6 - Prob. 7OECh. 9.6 - Prob. 8OECh. 9.6 - Prob. 9OECh. 9.6 - Prob. 10OECh. 9.6 - Prob. 11OECh. 9.6 - Prob. 12OECh. 9.6 - Prob. 13OECh. 9.6 - Prob. 14OECh. 9.6 - Prob. 15OECh. 9.6 - Prob. 16OECh. 9.6 - Prob. 1PCh. 9.6 - Prob. 2PCh. 9.6 - Prob. 3PCh. 9.6 - Prob. 4PCh. 9.6 - Prob. 5PCh. 9.6 - Prob. 6PCh. 9.6 - Prob. 7PCh. 9.6 - Prob. 8PCh. 9.6 - Prob. 9PCh. 9.6 - Prob. 10PCh. 9.6 - Prob. 11PCh. 9.6 - Prob. 12PCh. 9.6 - Prob. 13PCh. 9.6 - Prob. 14PCh. 9.6 - Prob. 15PCh. 9.6 - Prob. 16PCh. 9.6 - Prob. 17PCh. 9.6 - Prob. 18PCh. 9.6 - Prob. 19PCh. 9.6 - Prob. 20PCh. 9.6 - Prob. 21PCh. 9.6 - Prob. 22PCh. 9.6 - Prob. 23PCh. 9.6 - Prob. 1MRECh. 9.6 - Prob. 2MRECh. 9.6 - Prob. 3MRECh. 9.6 - Prob. 4MRECh. 9.6 - Prob. 5MRECh. 9.6 - Prob. 6MRECh. 9.6 - Prob. 7MRECh. 9.6 - Prob. 8MRECh. 9.6 - Prob. 9MRECh. 9.7 - Prob. 1OECh. 9.7 - Prob. 2OECh. 9.7 - Prob. 3OECh. 9.7 - Prob. 4OECh. 9.7 - Prob. 5OECh. 9.7 - Prob. 6OECh. 9.7 - Prob. 7OECh. 9.7 - Prob. 8OECh. 9.7 - Prob. 9OECh. 9.7 - Prob. 10OECh. 9.7 - Prob. 11OECh. 9.7 - Prob. 12OECh. 9.7 - Prob. 13OECh. 9.7 - Prob. 14OECh. 9.7 - Prob. 15OECh. 9.7 - Prob. 16OECh. 9.7 - Prob. 17OECh. 9.7 - Prob. 18OECh. 9.7 - Prob. 19OECh. 9.7 - Prob. 20OECh. 9.7 - Prob. 21OECh. 9.7 - Prob. 22OECh. 9.7 - Prob. 1PCh. 9.7 - Prob. 2PCh. 9.7 - Prob. 3PCh. 9.7 - Prob. 4PCh. 9.7 - Prob. 5PCh. 9.7 - Prob. 6PCh. 9.7 - Prob. 7PCh. 9.7 - Prob. 8PCh. 9.7 - Prob. 9PCh. 9.7 - Prob. 10PCh. 9.7 - Prob. 11PCh. 9.7 - Prob. 12PCh. 9.7 - Prob. 13PCh. 9.7 - Prob. 14PCh. 9.7 - Prob. 15PCh. 9.7 - Prob. 16PCh. 9.7 - Prob. 17PCh. 9.7 - Prob. 18PCh. 9.7 - Prob. 19PCh. 9.7 - Prob. 20PCh. 9.7 - Prob. 21PCh. 9.7 - Prob. 22PCh. 9.7 - Prob. 23PCh. 9.7 - Prob. 24PCh. 9.7 - Prob. 25PCh. 9.7 - Prob. 26PCh. 9.7 - Prob. 27PCh. 9.7 - Prob. 28PCh. 9.7 - Prob. 29PCh. 9.7 - Prob. 30PCh. 9.7 - Prob. 31PCh. 9.7 - Prob. 32PCh. 9.7 - Prob. 33PCh. 9.7 - Prob. 34PCh. 9.7 - Prob. 1MRECh. 9.7 - Prob. 2MRECh. 9.7 - Prob. 3MRECh. 9.7 - Prob. 4MRECh. 9.7 - Prob. 5MRECh. 9.7 - Prob. 6MRECh. 9.7 - Prob. 7MRECh. 9.7 - Prob. 8MRECh. 9.7 - Prob. 9MRECh. 9.7 - Prob. 10MRECh. 9.7 - Prob. 11MRECh. 9.7 - Prob. 12MRECh. 9.7 - Prob. 1STCh. 9.7 - Prob. 2STCh. 9.7 - Prob. 3STCh. 9.7 - Prob. 4STCh. 9 - Prob. 1CRCh. 9 - Prob. 2CRCh. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - Prob. 6CRCh. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - Prob. 9CRCh. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - Prob. 3CTCh. 9 - Prob. 4CTCh. 9 - Prob. 5CTCh. 9 - Prob. 6CTCh. 9 - Prob. 7CTCh. 9 - Prob. 8CTCh. 9 - Prob. 9CTCh. 9 - Prob. 10CTCh. 9 - Prob. 11CTCh. 9 - Prob. 12CTCh. 9 - Prob. 13CTCh. 9 - Prob. 14CTCh. 9 - Prob. 1CLRCh. 9 - Prob. 2CLRCh. 9 - Prob. 3CLRCh. 9 - Prob. 4CLRCh. 9 - Prob. 5CLRCh. 9 - Prob. 6CLRCh. 9 - Prob. 7CLRCh. 9 - Prob. 8CLRCh. 9 - Prob. 9CLRCh. 9 - Prob. 10CLRCh. 9 - Prob. 11CLRCh. 9 - Prob. 12CLRCh. 9 - Prob. 13CLRCh. 9 - Prob. 14CLRCh. 9 - Prob. 15CLRCh. 9 - Prob. 16CLRCh. 9 - Prob. 17CLRCh. 9 - Prob. 18CLRCh. 9 - Prob. 19CLRCh. 9 - Prob. 20CLRCh. 9 - Prob. 21CLRCh. 9 - Prob. 22CLRCh. 9 - Prob. 23CLRCh. 9 - Prob. 24CLRCh. 9 - Prob. 25CLRCh. 9 - Prob. 26CLRCh. 9 - Prob. 27CLRCh. 9 - Prob. 28CLRCh. 9 - Prob. 29CLRCh. 9 - Prob. 30CLRCh. 9 - Prob. 31CLRCh. 9 - Prob. 1MSCh. 9 - Prob. 2MSCh. 9 - Prob. 3MSCh. 9 - Prob. 4MSCh. 9 - Prob. 5MSCh. 9 - Prob. 6MSCh. 9 - Prob. 7MSCh. 9 - Prob. 8MSCh. 9 - Prob. 9MSCh. 9 - Prob. 10MSCh. 9 - Prob. 11MSCh. 9 - Prob. 12MSCh. 9 - Prob. 13MSCh. 9 - Prob. 14MSCh. 9 - Prob. 15MSCh. 9 - Prob. 16MSCh. 9 - Prob. 17MSCh. 9 - Prob. 18MSCh. 9 - Prob. 19MSCh. 9 - Prob. 20MSCh. 9 - Prob. 21MSCh. 9 - Prob. 22MSCh. 9 - Prob. 23MSCh. 9 - Prob. 24MSCh. 9 - Prob. 25MSCh. 9 - Prob. 26MSCh. 9 - Prob. 27MSCh. 9 - Prob. 28MSCh. 9 - Prob. 29MSCh. 9 - Prob. 30MSCh. 9 - Prob. 1MPSCh. 9 - Prob. 2MPSCh. 9 - Prob. 3MPSCh. 9 - Prob. 4MPSCh. 9 - Prob. 5MPSCh. 9 - Prob. 6MPSCh. 9 - Prob. 7MPSCh. 9 - Prob. 8MPSCh. 9 - Prob. 9MPSCh. 9 - Prob. 10MPSCh. 9 - Prob. 11MPSCh. 9 - Prob. 12MPSCh. 9 - Prob. 13MPSCh. 9 - Prob. 14MPS

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