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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Chapter 7, Problem 191RE
To determine

To evaluate: using Cramer’s rule to solve the system of equations.

Expert Solution & Answer
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Answer to Problem 191RE

The solution of given system of equations is x = 0, y = −2.4 and z = −2.6.

Explanation of Solution

Given information :

System of equations are given as

  x−3y+2z=22x+2y−3z=3x−7y+8z=−4

Writing the given system of equations in the form of AX=B ,

  [1−3222−31−78][xyz]=[23−4]

Applying Cramer’s rule and finding the determinant,

  Δ=|1−3222−31−78|=1|2−3−78|−2|−32−78|+1|−322−3|=1(16−21)−2(−24+14)+1(9−4)=−5+20+5=20

Finding Δx ,

  Δx=|2−3232−3−4−78|=2|2−3−78|−3|−32−78|−4|−322−3|=2(16−21)−3(−24+14)−4(9−4)=2(−5)−3(−10)−4(5)=−10+30−20=0

Finding Δy ,

  Δy=|12223−31−48|=1|3−3−48|−2|22−48|+1|223−3|=1(24−12)−2(16+8)+1(−6−6)=1(12)−2(24)+1(−12)=12−48−12=−48

Finding Δz ,

  Δz=|1−322231−7−4|=1|23−7−4|−2|−32−7−4|+1|−3223|=1(−8+21)−2(12+14)+1(−9−4)=1(13)−2(26)+1(−13)=13−52−13=−52

  x=ΔxΔ=020=0y=ΔyΔ=−4820=−2.4z=ΔzΔ=−5220=−2.6

The solution of given system of equations is x = 0, y = −2.4 and z = −2.6.

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Chapter 7, Problem 190RE
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Chapter 7, Problem 192RE

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
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Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - Prob. 40ECh. 7.6 - Prob. 41ECh. 7.6 - Prob. 42ECh. 7.6 - Prob. 43ECh. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Prob. 46ECh. 7.6 - Prob. 47ECh. 7.6 - Prob. 48ECh. 7.6 - Prob. 49ECh. 7.6 - Prob. 50ECh. 7.6 - Prob. 51ECh. 7.6 - Prob. 52ECh. 7.6 - Prob. 53ECh. 7.6 - Prob. 54ECh. 7.6 - Prob. 55ECh. 7.6 - Prob. 56ECh. 7.6 - Prob. 57ECh. 7.6 - Prob. 58ECh. 7.6 - Prob. 59ECh. 7.6 - Prob. 60ECh. 7.6 - Prob. 61ECh. 7.6 - Prob. 62ECh. 7.6 - Prob. 63ECh. 7.6 - Prob. 64ECh. 7.6 - Prob. 67ECh. 7.6 - Prob. 68ECh. 7.6 - Prob. 69ECh. 7.6 - Prob. 70ECh. 7.6 - Prob. 71ECh. 7.6 - Prob. 72ECh. 7.6 - Prob. 73ECh. 7.6 - Prob. 74ECh. 7.6 - Prob. 75ECh. 7.6 - Prob. 76ECh. 7.6 - Prob. 77ECh. 7.6 - Prob. 78ECh. 7.7 - Prob. 1ECh. 7.7 - Prob. 2ECh. 7.7 - Prob. 3ECh. 7.7 - Prob. 4ECh. 7.7 - Prob. 5ECh. 7.7 - Prob. 6ECh. 7.7 - Prob. 7ECh. 7.7 - Prob. 8ECh. 7.7 - Prob. 9ECh. 7.7 - Prob. 10ECh. 7.7 - Prob. 11ECh. 7.7 - Prob. 12ECh. 7.7 - Prob. 13ECh. 7.7 - 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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