PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Chapter 7.1, Problem 24E
To determine

To find the solution of the system of linear equation

Expert Solution & Answer
Check Mark

Answer to Problem 24E

The system of linear equation has no solution.

Explanation of Solution

Given information:

The system of linear equation:

  −0.5x+4y=7.8      ......(i)0.2x−1.6y=−3.6     ......(ii)

Calculation :

To evaluate the values of variables x and y ,

It is needed to substitute the relation of two variables in the second equation obtained from first equation.

Therefore the relation of two variables in the first equation is obtained as:

  −0.5x+4y=7.8       ......(i)x=−7.8+4y0.5            ......(iii)

Now, substituting the value x in equation ( ii )

  0.2×(4y−7.8)0.5−1.6y=−3.62(4y−7.8)5−1.6y=−3.68y−15.6−8y5=−3.6−15.6=−3.6×5

The variable is cancelled, hence the system of equations have no solution.

  PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS), Chapter 7.1, Problem 24E

To check the solution of the two equation, use graphing utility to graph both the equation,

The graph is obtained as from the above graph, it can be observed that there is no point of intersection of the two lines, thus the condition of no solution is verified.

Hence, the system of equations have no solution.

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Chapter 7.1, Problem 23E
Next
Chapter 7.1, Problem 25E

Chapter 7 Solutions

PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)

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. 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. 27ECh. 7.8 - Prob. 28ECh. 7.8 - Prob. 29ECh. 7.8 - Prob. 30ECh. 7.8 - Prob. 31ECh. 7.8 - Prob. 32ECh. 7.8 - Prob. 33ECh. 7.8 - Prob. 34ECh. 7.8 - Prob. 35ECh. 7.8 - Prob. 36ECh. 7.8 - Prob. 41ECh. 7.8 - Prob. 42ECh. 7.8 - Prob. 43ECh. 7.8 - Prob. 44ECh. 7.8 - Prob. 45ECh. 7.8 - Prob. 46ECh. 7.8 - Prob. 47ECh. 7.8 - Prob. 48ECh. 7 - Prob. 1CRCh. 7 - Prob. 2CRCh. 7 - Prob. 3CRCh. 7 - Prob. 4CRCh. 7 - Prob. 5CRCh. 7 - Prob. 6CRCh. 7 - Prob. 7CRCh. 7 - Prob. 8CRCh. 7 - Prob. 9CRCh. 7 - Prob. 10CRCh. 7 - Prob. 11CRCh. 7 - Prob. 12CRCh. 7 - Prob. 13CRCh. 7 - Prob. 14CRCh. 7 - Prob. 15CRCh. 7 - Prob. 16CRCh. 7 - Prob. 17CRCh. 7 - Prob. 18CRCh. 7 - Prob. 19CRCh. 7 - Prob. 20CRCh. 7 - Prob. 21CRCh. 7 - Prob. 22CRCh. 7 - Prob. 23CRCh. 7 - Prob. 24CRCh. 7 - Prob. 25CRCh. 7 - Prob. 26CRCh. 7 - Prob. 27CRCh. 7 - Prob. 28CRCh. 7 - Prob. 29CRCh. 7 - Prob. 30CRCh. 7 - Prob. 31CRCh. 7 - Prob. 32CRCh. 7 - Prob. 33CRCh. 7 - Prob. 34CRCh. 7 - Prob. 35CRCh. 7 - Prob. 36CRCh. 7 - Prob. 37CRCh. 7 - Prob. 38CRCh. 7 - Prob. 39CRCh. 7 - Prob. 40CRCh. 7 - Prob. 41CRCh. 7 - Prob. 42CRCh. 7 - Prob. 43CRCh. 7 - Prob. 44CRCh. 7 - Prob. 45CRCh. 7 - Prob. 46CRCh. 7 - Prob. 47CRCh. 7 - Prob. 48CRCh. 7 - Prob. 49CRCh. 7 - Prob. 50CRCh. 7 - Prob. 51CRCh. 7 - Prob. 52CRCh. 7 - Prob. 53CRCh. 7 - Prob. 54CRCh. 7 - Prob. 55CRCh. 7 - Prob. 56CRCh. 7 - Prob. 57CRCh. 7 - Prob. 58CRCh. 7 - Prob. 59CRCh. 7 - Prob. 60CRCh. 7 - Prob. 61CRCh. 7 - Prob. 62CRCh. 7 - Prob. 63CRCh. 7 - Prob. 64CRCh. 7 - Prob. 65CRCh. 7 - Prob. 66CRCh. 7 - Prob. 67CRCh. 7 - Prob. 68CRCh. 7 - Prob. 69CRCh. 7 - Prob. 70CRCh. 7 - Prob. 71CRCh. 7 - Prob. 72CRCh. 7 - Prob. 73CRCh. 7 - Prob. 74CRCh. 7 - Prob. 75CRCh. 7 - Prob. 76CRCh. 7 - Prob. 77CRCh. 7 - Prob. 78CRCh. 7 - Prob. 79CRCh. 7 - Prob. 80CRCh. 7 - Prob. 81CRCh. 7 - Prob. 82CRCh. 7 - Prob. 83CRCh. 7 - Prob. 84CRCh. 7 - Prob. 85CRCh. 7 - Prob. 86CRCh. 7 - Prob. 87CRCh. 7 - Prob. 88CRCh. 7 - Prob. 89CRCh. 7 - Prob. 90CRCh. 7 - Prob. 91CRCh. 7 - Prob. 92CRCh. 7 - Prob. 93CRCh. 7 - Prob. 94CRCh. 7 - Prob. 95CRCh. 7 - Prob. 96CRCh. 7 - Prob. 97CRCh. 7 - Prob. 98CRCh. 7 - Prob. 99CRCh. 7 - Prob. 100CRCh. 7 - Prob. 101CRCh. 7 - Prob. 102CRCh. 7 - Prob. 103CRCh. 7 - Prob. 104CRCh. 7 - Prob. 105CRCh. 7 - Prob. 106CRCh. 7 - Prob. 107CRCh. 7 - Prob. 108CRCh. 7 - Prob. 109CRCh. 7 - Prob. 110CRCh. 7 - Prob. 111CRCh. 7 - Prob. 112CRCh. 7 - Prob. 113CRCh. 7 - Prob. 114CRCh. 7 - Prob. 115CRCh. 7 - Prob. 116CRCh. 7 - Prob. 117CRCh. 7 - Prob. 118CRCh. 7 - Prob. 119CRCh. 7 - Prob. 120CRCh. 7 - Prob. 121CRCh. 7 - Prob. 122CRCh. 7 - Prob. 123CRCh. 7 - Prob. 124CRCh. 7 - Prob. 125CRCh. 7 - Prob. 126CRCh. 7 - Prob. 127CRCh. 7 - Prob. 128CRCh. 7 - Prob. 129CRCh. 7 - Prob. 130CRCh. 7 - Prob. 131CRCh. 7 - Prob. 132CRCh. 7 - Prob. 133CRCh. 7 - Prob. 134CRCh. 7 - Prob. 135CRCh. 7 - Prob. 136CRCh. 7 - Prob. 137CRCh. 7 - Prob. 138CRCh. 7 - Prob. 139CRCh. 7 - Prob. 140CRCh. 7 - Prob. 141CRCh. 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. 17CT
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