Explanation Procedure used: To solve the linear system in two variables using determinants by Cramer’s rule: If { a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Then, x = | c 1 b 1 c 2 b 2 | | a 1 b 1 a 2 b 2 | and y = | a 1 c 1 a 2 c 2 | | a 1 b 1 a 2 b 2 | Where D = | a 1 b 1 a 2 b 2 | ≠ 0 , D x = | c 1 b 1 c 2 b 2 | , D y = | a 1 c 1 a 2 c 2 | So, x = D x D and y = D y D Calculation: The given system of linear equations is { a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 Since, x = D x D and y = D y D Set up and evaluate the three determinants D , D x and D y . 1. The determinant in both denominators = D . And, D consists x and y coefficients. Let D = | a 1 b 1 a 2 b 2 | ≠ 0 Then, D = | a 1 b 1 a 2 b 2 | = a 1 b 2 − a 2 b 1 Since, the determinant is not zero, Cramer’s rule can be used solve the system. 2. To find the determinant D x in the numerator for x can be obtained by replacing the x - coefficients in D by the constants on the right sides of the equations. D x = | c 1 b 1 c 2 b 2 | = c 1 b 2 − c 2 b 1 3. To find the determinant D y in the numerator for y can be obtained by replacing the y - coefficients in D , by the constants on the right sides of the equations. D y = | a 1 c 1 a 2 c 2 | = a 1 c 2 − a 2 c 1 . 4. Thus, x = D x D = c 1 b 2 − c 2 b 1 a 1 b 2 − a 2 b 1 and y = D y D = a 1 c 2 − a 2 c 1 a 1 b 2 − a 2 b 1 Therefore the solution is ( x , y ) = ( c 1 b 2 − c 2 b 1 a 1 b 2 − a 2 b 1 , a 1 c 2 − a 2 c 1 a 1 b 2 − a 2 b 1 )

4th Edition

ISBN: 9780321833655

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 6.5, Problem 74E

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Chapter 6.5, Problem 73E

Chapter 6.5, Problem 75E

Chapter 6 Solutions

College Algebra Essentials

Ch. 6.1 - Prob. 1CP Ch. 6.1 - Prob. 2CP Ch. 6.1 - Prob. 3CP Ch. 6.1 - Prob. 4CP Ch. 6.1 - Prob. 1CVC Ch. 6.1 - Prob. 2CVC Ch. 6.1 - Prob. 3CVC Ch. 6.1 - Prob. 4CVC Ch. 6.1 - Prob. 5CVC Ch. 6.1 - Prob. 6CVC

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Prob. 13E Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Write a system of linear equations in three or...Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - Prob. 60E Ch. 6.1 - Prob. 61E Ch. 6.1 - Prob. 62E Ch. 6.1 - Prob. 63E Ch. 6.1 - Prob. 64E Ch. 6.1 - Prob. 65E Ch. 6.1 - Prob. 66E Ch. 6.1 - The table shows the daily production level and...Ch. 6.1 - Prob. 68E Ch. 6.1 - Prob. 69E Ch. 6.1 - Prob. 70E Ch. 6.2 - Prob. 1CP Ch. 6.2 - Prob. 2CP Ch. 6.2 - Prob. 3CP Ch. 6.2 - Prob. 4CP Ch. 6.2 - Prob. 1CVC Ch. 6.2 - Prob. 2CVC Ch. 6.2 - Prob. 3CVC Ch. 6.2 - Prob. 4CVC Ch. 6.2 - Prob. 5CVC Ch. 6.2 - Prob. 1E Ch. 6.2 - Prob. 2E Ch. 6.2 - Prob. 3E Ch. 6.2 - Prob. 4E Ch. 6.2 - Prob. 5E Ch. 6.2 - Prob. 6E Ch. 6.2 - Prob. 7E Ch. 6.2 - Prob. 8E Ch. 6.2 - Prob. 9E Ch. 6.2 - Prob. 10E Ch. 6.2 - Prob. 11E Ch. 6.2 - Prob. 12E Ch. 6.2 - Prob. 13E Ch. 6.2 - Prob. 14E Ch. 6.2 - Prob. 15E Ch. 6.2 - Prob. 16E Ch. 6.2 - Prob. 17E Ch. 6.2 - Prob. 18E Ch. 6.2 - Prob. 19E Ch. 6.2 - Prob. 20E Ch. 6.2 - Prob. 21E Ch. 6.2 - Prob. 22E Ch. 6.2 - Prob. 23E Ch. 6.2 - Prob. 24E Ch. 6.2 - Prob. 25E Ch. 6.2 - Prob. 26E Ch. 6.2 - Prob. 27E Ch. 6.2 - Prob. 28E Ch. 6.2 - Prob. 29E Ch. 6.2 - Prob. 30E Ch. 6.2 - Prob. 31E Ch. 6.2 - Prob. 32E Ch. 6.2 - Prob. 33E Ch. 6.2 - Prob. 34E Ch. 6.2 - Prob. 35E Ch. 6.2 - Prob. 36E Ch. 6.2 - Prob. 37E Ch. 6.2 - Prob. 38E Ch. 6.2 - Prob. 39E Ch. 6.2 - Prob. 41E Ch. 6.2 - Prob. 42E Ch. 6.2 - Prob. 43E Ch. 6.2 - Prob. 44E Ch. 6.2 - Prob. 45E Ch. 6.2 - Prob. 47E Ch. 6.2 - Prob. 48E Ch. 6.2 - Prob. 49E Ch. 6.3 - Prob. 1CP Ch. 6.3 - Prob. 2CP Ch. 6.3 - Prob. 3CP Ch. 6.3 - Prob. 4CP Ch. 6.3 - Prob. 5CP Ch. 6.3 - Prob. 6CP Ch. 6.3 - Prob. 7CP Ch. 6.3 - Prob. 8CP Ch. 6.3 - Prob. 9CP Ch. 6.3 - Prob. 1CVC Ch. 6.3 - Prob. 2CVC Ch. 6.3 - Prob. 3CVC Ch. 6.3 - Prob. 4CVC Ch. 6.3 - Prob. 5CVC Ch. 6.3 - Prob. 6CVC Ch. 6.3 - Prob. 7CVC Ch. 6.3 - Prob. 8CVC Ch. 6.3 - Prob. 9CVC Ch. 6.3 - Prob. 10CVC Ch. 6.3 - Prob. 1E Ch. 6.3 - Prob. 2E Ch. 6.3 - Prob. 3E Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Prob. 15E Ch. 6.3 - Prob. 16E Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Prob. 19E Ch. 6.3 - Prob. 20E Ch. 6.3 - Prob. 21E Ch. 6.3 - Prob. 22E Ch. 6.3 - Prob. 23E Ch. 6.3 - Prob. 24E Ch. 6.3 - Prob. 25E Ch. 6.3 - Prob. 26E Ch. 6.3 - Prob. 27E Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Prob. 31E Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Prob. 39E Ch. 6.3 - Prob. 40E Ch. 6.3 - Prob. 41E Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - Prob. 53E Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.3 - Prob. 63E Ch. 6.3 - Prob. 64E Ch. 6.3 - Prob. 65E Ch. 6.3 - Prob. 66E Ch. 6.3 - Prob. 67E Ch. 6.3 - Prob. 68E Ch. 6.3 - Prob. 69E Ch. 6.3 - Prob. 70E Ch. 6.3 - Prob. 71E Ch. 6.3 - Prob. 72E Ch. 6.3 - Prob. 73E Ch. 6.3 - Prob. 74E Ch. 6.3 - Prob. 75E Ch. 6.3 - Prob. 77E Ch. 6.3 - Prob. 78E Ch. 6.3 - Make Sense? In Exercises 77–80, determine whether...Ch. 6.3 - Prob. 80E Ch. 6.3 - Prob. 81E Ch. 6.3 - Prob. 82E Ch. 6.3 - Prob. 83E Ch. 6.3 - Prob. 85E Ch. 6.3 - Prob. 86E Ch. 6.3 - Prob. 87E Ch. 6.4 - Prob. 1CP Ch. 6.4 - Prob. 2CP Ch. 6.4 - Prob. 3CP Ch. 6.4 - Prob. 4CP Ch. 6.4 - Prob. 5CP Ch. 6.4 - Use the coding matrix in Example 6, , to encode...Ch. 6.4 - Prob. 7CP Ch. 6.4 - Prob. 1CVC Ch. 6.4 - Prob. 2CVC Ch. 6.4 - Prob. 3CVC Ch. 6.4 - Prob. 4CVC Ch. 6.4 - Prob. 5CVC Ch. 6.4 - Prob. 6CVC Ch. 6.4 - Prob. 7CVC Ch. 6.4 - Prob. 8CVC Ch. 6.4 - Prob. 9CVC Ch. 6.4 - Prob. 1E Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - Prob. 5E Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - Prob. 10E Ch. 6.4 - Prob. 11E Ch. 6.4 - Prob. 12E Ch. 6.4 - Prob. 13E Ch. 6.4 - Prob. 14E Ch. 6.4 - Prob. 15E Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - 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Prob. 20E Ch. 6.5 - Prob. 21E Ch. 6.5 - Prob. 22E Ch. 6.5 - Prob. 23E Ch. 6.5 - Prob. 24E Ch. 6.5 - Prob. 25E Ch. 6.5 - Prob. 26E Ch. 6.5 - Prob. 27E Ch. 6.5 - Prob. 28E Ch. 6.5 - Prob. 29E Ch. 6.5 - Prob. 30E Ch. 6.5 - Prob. 31E Ch. 6.5 - Prob. 32E Ch. 6.5 - Prob. 33E Ch. 6.5 - Prob. 34E Ch. 6.5 - Prob. 35E Ch. 6.5 - Prob. 36E Ch. 6.5 - Prob. 37E Ch. 6.5 - Prob. 38E Ch. 6.5 - Prob. 39E Ch. 6.5 - Prob. 40E Ch. 6.5 - Prob. 41E Ch. 6.5 - Prob. 42E Ch. 6.5 - Prob. 43E Ch. 6.5 - Prob. 44E Ch. 6.5 - Prob. 45E Ch. 6.5 - Prob. 46E Ch. 6.5 - Prob. 47E Ch. 6.5 - Prob. 48E Ch. 6.5 - Prob. 49E Ch. 6.5 - Prob. 50E Ch. 6.5 - Prob. 51E Ch. 6.5 - Prob. 52E Ch. 6.5 - Prob. 53E Ch. 6.5 - Prob. 54E Ch. 6.5 - Prob. 55E Ch. 6.5 - Prob. 56E Ch. 6.5 - Prob. 57E Ch. 6.5 - Prob. 58E Ch. 6.5 - Prob. 59E Ch. 6.5 - Prob. 60E Ch. 6.5 - Prob. 61E Ch. 6.5 - Prob. 62E Ch. 6.5 - Prob. 63E Ch. 6.5 - Prob. 64E Ch. 6.5 - Prob. 65E Ch. 6.5 - Prob. 66E Ch. 6.5 - Prob. 67E Ch. 6.5 - Prob. 68E Ch. 6.5 - Prob. 69E Ch. 6.5 - Prob. 70E Ch. 6.5 - Prob. 71E Ch. 6.5 - Prob. 72E Ch. 6.5 - Prob. 73E Ch. 6.5 - Prob. 74E Ch. 6.5 - Prob. 75E Ch. 6.5 - Prob. 77E Ch. 6.5 - Prob. 78E Ch. 6.5 - Exercises 77–79 will help you prepare for the...Ch. 6 - Prob. 1MC Ch. 6 - Prob. 2MC Ch. 6 - Prob. 3MC Ch. 6 - Prob. 4MC Ch. 6 - Prob. 5MC Ch. 6 - Prob. 6MC Ch. 6 - Prob. 7MC Ch. 6 - Prob. 8MC Ch. 6 - Prob. 9MC Ch. 6 - Prob. 10MC Ch. 6 - Prob. 1RE Ch. 6 - Prob. 2RE Ch. 6 - Prob. 3RE Ch. 6 - Prob. 4RE Ch. 6 - Prob. 5RE Ch. 6 - Prob. 6RE Ch. 6 - Prob. 7RE Ch. 6 - Prob. 8RE Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - Prob. 11RE Ch. 6 - Prob. 12RE Ch. 6 - Prob. 13RE Ch. 6 - Prob. 14RE Ch. 6 - Prob. 15RE Ch. 6 - Prob. 16RE Ch. 6 - Prob. 17RE Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - Prob. 21RE Ch. 6 - Prob. 22RE Ch. 6 - Prob. 23RE Ch. 6 - Prob. 24RE Ch. 6 - Prob. 25RE Ch. 6 - Prob. 26RE Ch. 6 - Prob. 27RE Ch. 6 - Prob. 28RE Ch. 6 - Prob. 29RE Ch. 6 - Prob. 30RE Ch. 6 - Prob. 31RE Ch. 6 - Prob. 32RE Ch. 6 - Prob. 33RE Ch. 6 - 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