Precalculus with Limits: A Graphing Approach
Precalculus with Limits: A Graphing Approach
7th Edition
ISBN: 9781305071711
Author: Ron Larson
Publisher: Brooks/Cole
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Question
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Chapter 7.2, Problem 52E
To determine

To graph : the line in the system and determine whether the system is consistent or not.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information :

  {−6x+4y=−94.5x−3y=6.75

Graph: Sketch the graph using graphing utility.

Step 1: Press WINDOW button to access the Window editor.

Step 2: Press Y= button.

Step 3: Enter the expression Y1=−6x+4y=−9 and Y2=4.5x−3y=6.75 which is required to graph.

Step 4: Press GRAPH button to graph the function.

The graph is obtained as:

  Precalculus with Limits: A Graphing Approach, Chapter 7.2, Problem 52E

The system is consistent and dependent because the line of given equationdidn’t coincideeach other and it has infinite number of point in common

To check the solution solved both the equation algebraically is obtained as:

Let, −6x+4y=−9 is the equation (i) and 4.5x−3y=6.75 is the equation (ii).

  −6x+4y=−94.5x−3y=6.75_                  [multiply 1.33333333 in eqaution (ii)]               0=0               

Because  0=0 for all the values of x and y ,the two equation turn to be equivalent .

Hence, the system has infinitely many solutions.

Interpretation : From the above graph, it can be observed thatthe system is consistent and dependent because the line of given equation didn’t coincide each other and it has infinite number of point in common

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Chapter 7.2, Problem 51E
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Chapter 7.2, Problem 53E

Chapter 7 Solutions

Precalculus with Limits: A Graphing Approach

Ch. 7.1 - Prob. 1ECh. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - Prob. 31ECh. 7.1 - Prob. 32ECh. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Prob. 38ECh. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Prob. 43ECh. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Prob. 46ECh. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Prob. 58ECh. 7.1 - Prob. 59ECh. 7.1 - Prob. 60ECh. 7.1 - Prob. 61ECh. 7.1 - Prob. 62ECh. 7.1 - Prob. 63ECh. 7.1 - 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Prob. 14ECh. 7.7 - Prob. 15ECh. 7.7 - Prob. 16ECh. 7.7 - Prob. 17ECh. 7.7 - Prob. 18ECh. 7.7 - Prob. 19ECh. 7.7 - Prob. 20ECh. 7.7 - Prob. 21ECh. 7.7 - Prob. 22ECh. 7.7 - Prob. 23ECh. 7.7 - Prob. 24ECh. 7.7 - Prob. 25ECh. 7.7 - Prob. 26ECh. 7.7 - Prob. 27ECh. 7.7 - Prob. 28ECh. 7.7 - Prob. 29ECh. 7.7 - Prob. 30ECh. 7.7 - Prob. 31ECh. 7.7 - Prob. 32ECh. 7.7 - Prob. 33ECh. 7.7 - Prob. 34ECh. 7.7 - Prob. 35ECh. 7.7 - Prob. 36ECh. 7.7 - Prob. 37ECh. 7.7 - Prob. 38ECh. 7.7 - Prob. 39ECh. 7.7 - Prob. 40ECh. 7.7 - Prob. 41ECh. 7.7 - Prob. 42ECh. 7.7 - Prob. 43ECh. 7.7 - Prob. 44ECh. 7.7 - Prob. 45ECh. 7.7 - Prob. 46ECh. 7.7 - Prob. 47ECh. 7.7 - Prob. 48ECh. 7.7 - Prob. 49ECh. 7.7 - Prob. 50ECh. 7.7 - Prob. 51ECh. 7.7 - Prob. 52ECh. 7.7 - Prob. 53ECh. 7.7 - Prob. 54ECh. 7.7 - Prob. 55ECh. 7.7 - Prob. 56ECh. 7.7 - Prob. 57ECh. 7.7 - Prob. 58ECh. 7.7 - Prob. 59ECh. 7.7 - Prob. 60ECh. 7.7 - Prob. 61ECh. 7.7 - Prob. 62ECh. 7.7 - Prob. 63ECh. 7.7 - Prob. 64ECh. 7.7 - Prob. 65ECh. 7.7 - Prob. 66ECh. 7.7 - Prob. 67ECh. 7.7 - Prob. 68ECh. 7.7 - Prob. 69ECh. 7.7 - Prob. 70ECh. 7.7 - Prob. 71ECh. 7.7 - Prob. 72ECh. 7.7 - Prob. 73ECh. 7.7 - Prob. 74ECh. 7.7 - Prob. 75ECh. 7.7 - Prob. 76ECh. 7.7 - Prob. 77ECh. 7.7 - Prob. 78ECh. 7.7 - Prob. 79ECh. 7.7 - Prob. 80ECh. 7.7 - Prob. 81ECh. 7.7 - Prob. 82ECh. 7.7 - Prob. 83ECh. 7.7 - Prob. 84ECh. 7.7 - Prob. 85ECh. 7.7 - Prob. 86ECh. 7.7 - Prob. 87ECh. 7.7 - Prob. 88ECh. 7.8 - Prob. 1ECh. 7.8 - Prob. 2ECh. 7.8 - Prob. 3ECh. 7.8 - Prob. 4ECh. 7.8 - Prob. 5ECh. 7.8 - Prob. 6ECh. 7.8 - Prob. 7ECh. 7.8 - Prob. 8ECh. 7.8 - Prob. 9ECh. 7.8 - Prob. 10ECh. 7.8 - Prob. 11ECh. 7.8 - Prob. 12ECh. 7.8 - Prob. 13ECh. 7.8 - Prob. 14ECh. 7.8 - Prob. 15ECh. 7.8 - Prob. 16ECh. 7.8 - Prob. 17ECh. 7.8 - Prob. 18ECh. 7.8 - Prob. 19ECh. 7.8 - Prob. 20ECh. 7.8 - Prob. 21ECh. 7.8 - Prob. 22ECh. 7.8 - Prob. 23ECh. 7.8 - Prob. 24ECh. 7.8 - Prob. 25ECh. 7.8 - Prob. 26ECh. 7.8 - Prob. 29ECh. 7.8 - Prob. 30ECh. 7.8 - Prob. 31ECh. 7.8 - Prob. 32ECh. 7.8 - Prob. 37ECh. 7.8 - Prob. 38ECh. 7.8 - Prob. 39ECh. 7.8 - Prob. 40ECh. 7.8 - Prob. 41ECh. 7.8 - Prob. 42ECh. 7.8 - Prob. 43ECh. 7.8 - Prob. 44ECh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Prob. 6RECh. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - Prob. 61RECh. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Prob. 66RECh. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - Prob. 69RECh. 7 - Prob. 70RECh. 7 - Prob. 71RECh. 7 - Prob. 72RECh. 7 - Prob. 73RECh. 7 - Prob. 74RECh. 7 - Prob. 75RECh. 7 - Prob. 76RECh. 7 - Prob. 77RECh. 7 - Prob. 78RECh. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - Prob. 81RECh. 7 - Prob. 82RECh. 7 - Prob. 83RECh. 7 - Prob. 84RECh. 7 - Prob. 85RECh. 7 - Prob. 86RECh. 7 - Prob. 87RECh. 7 - Prob. 88RECh. 7 - Prob. 89RECh. 7 - Prob. 90RECh. 7 - Prob. 91RECh. 7 - Prob. 92RECh. 7 - Prob. 93RECh. 7 - Prob. 94RECh. 7 - Prob. 95RECh. 7 - Prob. 96RECh. 7 - Prob. 97RECh. 7 - Prob. 98RECh. 7 - Prob. 99RECh. 7 - Prob. 100RECh. 7 - Prob. 101RECh. 7 - Prob. 102RECh. 7 - Prob. 103RECh. 7 - Prob. 104RECh. 7 - Prob. 105RECh. 7 - Prob. 106RECh. 7 - Prob. 107RECh. 7 - Prob. 108RECh. 7 - Prob. 109RECh. 7 - Prob. 110RECh. 7 - Prob. 111RECh. 7 - Prob. 112RECh. 7 - Prob. 113RECh. 7 - Prob. 114RECh. 7 - Prob. 115RECh. 7 - Prob. 116RECh. 7 - Prob. 117RECh. 7 - Prob. 118RECh. 7 - Prob. 119RECh. 7 - Prob. 120RECh. 7 - Prob. 121RECh. 7 - Prob. 122RECh. 7 - Prob. 123RECh. 7 - Prob. 124RECh. 7 - Prob. 125RECh. 7 - Prob. 126RECh. 7 - Prob. 127RECh. 7 - Prob. 128RECh. 7 - Prob. 129RECh. 7 - Prob. 130RECh. 7 - Prob. 131RECh. 7 - Prob. 132RECh. 7 - Prob. 133RECh. 7 - Prob. 134RECh. 7 - Prob. 135RECh. 7 - Prob. 136RECh. 7 - Prob. 137RECh. 7 - Prob. 138RECh. 7 - Prob. 139RECh. 7 - Prob. 140RECh. 7 - Prob. 141RECh. 7 - Prob. 142RECh. 7 - Prob. 143RECh. 7 - Prob. 144RECh. 7 - Prob. 145RECh. 7 - Prob. 146RECh. 7 - Prob. 147RECh. 7 - Prob. 148RECh. 7 - Prob. 149RECh. 7 - Prob. 150RECh. 7 - Prob. 151RECh. 7 - Prob. 152RECh. 7 - Prob. 153RECh. 7 - Prob. 154RECh. 7 - Prob. 155RECh. 7 - Prob. 156RECh. 7 - Prob. 157RECh. 7 - Prob. 158RECh. 7 - Prob. 159RECh. 7 - Prob. 160RECh. 7 - Prob. 161RECh. 7 - Prob. 162RECh. 7 - Prob. 163RECh. 7 - Prob. 164RECh. 7 - Prob. 165RECh. 7 - Prob. 166RECh. 7 - Prob. 167RECh. 7 - Prob. 168RECh. 7 - Prob. 169RECh. 7 - Prob. 170RECh. 7 - Prob. 171RECh. 7 - Prob. 172RECh. 7 - Prob. 173RECh. 7 - Prob. 174RECh. 7 - Prob. 175RECh. 7 - Prob. 176RECh. 7 - Prob. 177RECh. 7 - Prob. 178RECh. 7 - Prob. 179RECh. 7 - Prob. 180RECh. 7 - Prob. 181RECh. 7 - Prob. 182RECh. 7 - Prob. 183RECh. 7 - Prob. 184RECh. 7 - Prob. 185RECh. 7 - Prob. 186RECh. 7 - Prob. 187RECh. 7 - Prob. 188RECh. 7 - Prob. 189RECh. 7 - Prob. 190RECh. 7 - Prob. 191RECh. 7 - Prob. 192RECh. 7 - Prob. 193RECh. 7 - Prob. 194RECh. 7 - Prob. 195RECh. 7 - Prob. 196RECh. 7 - Prob. 197RECh. 7 - Prob. 198RECh. 7 - Prob. 199RECh. 7 - Prob. 201RECh. 7 - Prob. 202RECh. 7 - Prob. 203RECh. 7 - Prob. 204RECh. 7 - Prob. 1CTCh. 7 - Prob. 2CTCh. 7 - Prob. 3CTCh. 7 - Prob. 4CTCh. 7 - Prob. 5CTCh. 7 - Prob. 6CTCh. 7 - Prob. 7CTCh. 7 - Prob. 8CTCh. 7 - Prob. 9CTCh. 7 - Prob. 10CTCh. 7 - Prob. 11CTCh. 7 - Prob. 12CTCh. 7 - Prob. 13CTCh. 7 - Prob. 14CTCh. 7 - Prob. 15CTCh. 7 - Prob. 16CTCh. 7 - Prob. 17CTCh. 7 - Prob. 18CT
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