4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 7.3, Problem 10E

(a)

To determine

To find : whether the ordered pair is the solution to the given system of equation

(a)

Expert Solution

Answer to Problem 10E

The ordered pair (−2,−2,2) is SOLUTION for the given system of equation

Explanation of Solution

Given information : The system of equation {−4x−y−8z=−6 y+z=04x−7y =6 and ordered pair (−2,−2,2)

Concept Involved:

Solution of a system of equation is the point which makes both the equation TRUE. We need to substitute the given point in each equation and see whether it makes all the three of the equations true. If yes, then the given ordered pair is solution to the system of equation. If not, then given ordered pair is not the solution to the system of equation. Graphically the solution to the system of equation is the point where the three planes meet.

Calculation:

Description	Steps
Substituting (−2,−2,2) in 1stequation −4x−y−8z=−6 and checking whether it makes it TRUE	−4(−2)−(−2)−8(2)=−68+2−16=−6−6=−6 TRUE
Substituting (−2,−2,2) in 2ndequation y+z=0 and checking whether it makes it TRUE	−2+2=00=0 TRUE
Substituting (−2,−2,2) in 3rdequation 4x−7y =6 and checking whether it makes it TRUE	4(−2)−7(−2)=6−8+14=66=6 TRUE

(b)

To determine

To find : whether the ordered pair is the solution to the given system of equation

(b)

Expert Solution

Answer to Problem 10E

The ordered pair (−332,−10,10) is NOT THE SOLUTIONfor the given system of equation

Explanation of Solution

Given information : System of equation {−4x−y−8z=−6 y+z=04x−7y =6 &ordered pair (−332,−10,10)

Concept Involved:

Calculation:

Description	Steps
Substituting (−33/2,−10,10) in 1stequation −4x−y−8z=−6 and checking whether it makes it TRUE	−4(−33/2)−(−10)−8(10)=−6−66+10−80=−6−136=−6 FALSE
Substituting (−33/2,−10,10) in 2ndequation y+z=0 and checking whether it makes it TRUE	−10+10=00=0 TRUE
Substituting (−33/2,−10,10) in 3rdequation 4x−7y =6 and checking whether it makes it TRUE	4(−33/2)−7(−10)=6−66+70=64=6 FALSE

(c)

To determine

To find : whether the ordered pair is the solution to the given system of equation

(c)

Expert Solution

Answer to Problem 10E

The ordered pair (18,−12,12) is NOT THE SOLUTION for the given system of equation

Explanation of Solution

Given information : System of equation {−4x−y−8z=−6 y+z=04x−7y =6 & ordered pair (18,−12,12)

Concept Involved:

Calculation:

Description	Steps
Substituting (1/8,−1/2,1/2) in 1stequation −4x−y−8z=−6 and checking whether it makes it TRUE	−4(1/8)−(−1/2)−8(1/2)=−6−1/2+1/2−4=−6−4=−6 FALSE
Substituting (1/8,−1/2,1/2) in 2ndequation y+z=0 and checking whether it makes it TRUE	−1/2+1/2=00=0 TRUE
Substituting (1/8,−1/2,1/2) in 3rdequation 4x−7y =6 and checking whether it makes it TRUE	4(1/8)−7(−1/2)=61/2+7/2=64=6 FALSE

(d)

To determine

To find : whether the ordered pair is the solution to the given system of equation

(d)

Expert Solution

Answer to Problem 10E

The ordered pair (−12,−2,1) is NOT THE SOLUTION for the given system of equation

Explanation of Solution

Given information : System of equation {−4x−y−8z=−6 y+z=04x−7y =6 & ordered pair (−12,−2,1)

Concept Involved:

Calculation:

Description	Steps
Substituting (−1/2,−2,1) in 1stequation −4x−y−8z=−6 and checking whether it makes it TRUE	−4(−1/2)−(−2)−8(1)=−62+2−8=−6−4=−6 FALSE
Substituting (−1/2,−2,1) in 2ndequation y+z=0 and checking whether it makes it TRUE	−2+1=0−1=0 FALSE
Substituting (−1/2,−2,1) in 3rdequation 4x−7y =6 and checking whether it makes it TRUE	4(−1/2)−7(−2)=6−2+14=612=6 FALSE

Chapter 7.3, Problem 9E

Chapter 7.3, Problem 11E

Chapter 7 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 7.1 - Prob. 1E Ch. 7.1 - Prob. 2E Ch. 7.1 - Prob. 3E Ch. 7.1 - Prob. 4E Ch. 7.1 - Prob. 5E Ch. 7.1 - Prob. 6E Ch. 7.1 - Prob. 7E Ch. 7.1 - Prob. 8E Ch. 7.1 - Prob. 9E Ch. 7.1 - Prob. 10E

Ch. 7.1 - Prob. 11E Ch. 7.1 - Prob. 12E Ch. 7.1 - Prob. 13E Ch. 7.1 - Prob. 14E Ch. 7.1 - Prob. 15E Ch. 7.1 - Prob. 16E Ch. 7.1 - Prob. 17E Ch. 7.1 - Prob. 18E Ch. 7.1 - Prob. 19E Ch. 7.1 - Prob. 20E Ch. 7.1 - Prob. 21E Ch. 7.1 - Prob. 22E Ch. 7.1 - Prob. 23E Ch. 7.1 - Prob. 24E Ch. 7.1 - Prob. 25E Ch. 7.1 - Prob. 26E Ch. 7.1 - Prob. 27E Ch. 7.1 - Prob. 28E Ch. 7.1 - Prob. 29E Ch. 7.1 - Prob. 30E Ch. 7.1 - Prob. 31E Ch. 7.1 - Prob. 32E Ch. 7.1 - Prob. 33E Ch. 7.1 - Prob. 34E Ch. 7.1 - Prob. 35E Ch. 7.1 - Prob. 36E Ch. 7.1 - Prob. 37E Ch. 7.1 - Prob. 38E Ch. 7.1 - Prob. 39E Ch. 7.1 - Prob. 40E Ch. 7.1 - Prob. 41E Ch. 7.1 - Prob. 42E Ch. 7.1 - Prob. 43E Ch. 7.1 - Prob. 44E Ch. 7.1 - Prob. 45E Ch. 7.1 - Prob. 46E Ch. 7.1 - Prob. 47E Ch. 7.1 - Prob. 48E Ch. 7.1 - Prob. 49E Ch. 7.1 - Prob. 50E Ch. 7.1 - Prob. 51E Ch. 7.1 - Prob. 52E Ch. 7.1 - Prob. 53E Ch. 7.1 - Prob. 54E Ch. 7.1 - Prob. 55E Ch. 7.1 - Prob. 56E Ch. 7.1 - Prob. 57E Ch. 7.1 - Prob. 58E Ch. 7.1 - Prob. 59E Ch. 7.1 - Prob. 60E Ch. 7.1 - 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Prob. 45E Ch. 7.4 - Prob. 46E Ch. 7.4 - Prob. 47E Ch. 7.4 - Prob. 48E Ch. 7.4 - Prob. 49E Ch. 7.4 - Prob. 50E Ch. 7.4 - Prob. 51E Ch. 7.4 - Prob. 52E Ch. 7.4 - Prob. 53E Ch. 7.4 - Prob. 54E Ch. 7.4 - Prob. 55E Ch. 7.4 - Prob. 56E Ch. 7.4 - Prob. 57E Ch. 7.4 - Prob. 58E Ch. 7.4 - Prob. 59E Ch. 7.4 - Prob. 60E Ch. 7.4 - Prob. 61E Ch. 7.4 - Prob. 62E Ch. 7.4 - Prob. 63E Ch. 7.4 - Prob. 64E Ch. 7.4 - Prob. 65E Ch. 7.4 - Prob. 66E Ch. 7.5 - Prob. 1E Ch. 7.5 - Prob. 2E Ch. 7.5 - Prob. 3E Ch. 7.5 - Prob. 4E Ch. 7.5 - Prob. 5E Ch. 7.5 - Prob. 6E Ch. 7.5 - Prob. 7E Ch. 7.5 - Prob. 8E Ch. 7.5 - Prob. 9E Ch. 7.5 - Prob. 10E Ch. 7.5 - Prob. 11E Ch. 7.5 - Prob. 12E Ch. 7.5 - Prob. 13E Ch. 7.5 - Prob. 14E Ch. 7.5 - Prob. 15E Ch. 7.5 - Prob. 16E Ch. 7.5 - Prob. 17E Ch. 7.5 - Prob. 18E Ch. 7.5 - Prob. 19E Ch. 7.5 - Prob. 20E Ch. 7.5 - Prob. 21E Ch. 7.5 - Prob. 22E Ch. 7.5 - Prob. 23E Ch. 7.5 - Prob. 24E Ch. 7.5 - Prob. 25E Ch. 7.5 - Prob. 26E Ch. 7.5 - Prob. 27E Ch. 7.5 - Prob. 28E Ch. 7.5 - Prob. 29E Ch. 7.5 - 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Prob. 5E Ch. 7.6 - Prob. 6E Ch. 7.6 - Prob. 7E Ch. 7.6 - Prob. 8E Ch. 7.6 - Prob. 9E Ch. 7.6 - Prob. 10E Ch. 7.6 - Prob. 11E Ch. 7.6 - Prob. 12E Ch. 7.6 - Prob. 13E Ch. 7.6 - Prob. 14E Ch. 7.6 - Prob. 15E Ch. 7.6 - Prob. 16E Ch. 7.6 - Prob. 17E Ch. 7.6 - Prob. 18E Ch. 7.6 - Prob. 19E Ch. 7.6 - Prob. 20E Ch. 7.6 - Prob. 21E Ch. 7.6 - Prob. 22E Ch. 7.6 - Prob. 23E Ch. 7.6 - Prob. 24E Ch. 7.6 - Prob. 25E Ch. 7.6 - Prob. 26E Ch. 7.6 - Prob. 27E Ch. 7.6 - Prob. 28E Ch. 7.6 - Prob. 29E Ch. 7.6 - Prob. 30E Ch. 7.6 - Prob. 31E Ch. 7.6 - Prob. 32E Ch. 7.6 - Prob. 33E Ch. 7.6 - Prob. 34E Ch. 7.6 - Prob. 35E Ch. 7.6 - Prob. 36E Ch. 7.6 - Prob. 37E Ch. 7.6 - Prob. 38E Ch. 7.6 - Prob. 39E Ch. 7.6 - Prob. 40E Ch. 7.6 - Prob. 41E Ch. 7.6 - Prob. 42E Ch. 7.6 - Prob. 43E Ch. 7.6 - Prob. 44E Ch. 7.6 - Prob. 45E Ch. 7.6 - Prob. 46E Ch. 7.6 - Prob. 47E Ch. 7.6 - Prob. 48E Ch. 7.6 - Prob. 49E Ch. 7.6 - Prob. 50E Ch. 7.6 - Prob. 51E Ch. 7 - Prob. 1RE Ch. 7 - Prob. 2RE Ch. 7 - Prob. 3RE Ch. 7 - Prob. 4RE Ch. 7 - Prob. 5RE Ch. 7 - Prob. 6RE Ch. 7 - Prob. 7RE Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Prob. 10RE Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - Prob. 14RE Ch. 7 - Prob. 15RE Ch. 7 - Prob. 16RE Ch. 7 - Prob. 17RE Ch. 7 - Prob. 18RE Ch. 7 - Prob. 19RE Ch. 7 - Prob. 20RE Ch. 7 - Prob. 21RE Ch. 7 - Prob. 22RE Ch. 7 - Prob. 23RE Ch. 7 - Prob. 24RE Ch. 7 - Prob. 25RE Ch. 7 - Prob. 26RE Ch. 7 - Prob. 27RE Ch. 7 - Prob. 28RE Ch. 7 - Prob. 29RE Ch. 7 - Prob. 30RE Ch. 7 - Prob. 31RE Ch. 7 - Prob. 32RE Ch. 7 - Prob. 33RE Ch. 7 - Prob. 34RE Ch. 7 - Prob. 35RE Ch. 7 - Prob. 36RE Ch. 7 - Prob. 37RE Ch. 7 - Prob. 38RE Ch. 7 - Prob. 39RE Ch. 7 - Prob. 40RE Ch. 7 - Prob. 41RE Ch. 7 - Prob. 42RE Ch. 7 - Prob. 43RE Ch. 7 - Prob. 44RE Ch. 7 - Prob. 45RE Ch. 7 - Prob. 46RE Ch. 7 - Prob. 47RE Ch. 7 - Prob. 48RE Ch. 7 - Prob. 49RE Ch. 7 - Prob. 50RE Ch. 7 - Prob. 51RE Ch. 7 - Prob. 52RE Ch. 7 - Prob. 53RE Ch. 7 - Prob. 54RE Ch. 7 - Prob. 55RE Ch. 7 - Prob. 56RE Ch. 7 - Prob. 57RE Ch. 7 - 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