Explanation Procedure used: Creamer’s rule for two variables : Step 1: Find the determinant of the coefficients of the variables, D . Step 2: Since D ≠ 0 , find D x by replacing the first column in D with the system’s constants. Find D y by replacing the second column in D with constants. Step 3: Find x = D x D , and y = D y D . Step 4: Check the correctness of the solutions. Calculation: The given system of equations are { 4 x − 2 y = 9 − 8 x − 2 y = − 11 . It is known that, the solution of the system of equations { a x + b y = s c x + d y = t is given by x = D x D , and y = D y D . Where, D = | a b c d | = a d − b c ≠ 0 , D x = | s b t d | and D y = | a s c t | . Let D = | 4 − 2 − 8 − 2 | , D x = | 9 − 2 − 11 − 2 | and D y = | 4 9 − 8 − 11 | . The value of the determinant D = | 4 − 2 − 8 − 2 | is computed as follows. D = | 4 − 2 − 8 − 2 | = 4 ( − 2 ) − ( − 2 ) ( − 8 ) = − 8 − 16 = − 24 Thus, the value of the determinant D = | 4 − 2 − 8 − 2 | is –24. Obtain the value of D x as follows. D x = | 9 − 2 − 11 − 2 | = 9 ( − 2 ) − ( − 2 ) ( − 11 ) = − 18 − 22 = − 40 That is, D x = − 40 . Obtain the value of D y as shown below, D y = | 4 9 − 8 − 11 | = 4 ( − 11 ) − ( 9 ) ( − 8 ) = − 44 + 72 = 28 That is, D y = 28

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter C.4, Problem 20E

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To solve: The system of linear equations {4x−2y=9−8x−2y=−11 using the Cramers rule.

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Chapter C.4, Problem 19E

Chapter C.4, Problem 21E

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Chapter C Solutions

Elementary & Intermediate Algebra

Ch. C.1 - A___ ___ ___ ___ is a grouping of two or more...Ch. C.1 - A____ of a system of equations consists of values...Ch. C.1 - Prob. 3E Ch. C.1 - Prob. 4E Ch. C.1 - Prob. 5E Ch. C.1 - True or False A system of two linear equations...Ch. C.1 - Prob. 7E Ch. C.1 - Prob. 8E Ch. C.1 - Prob. 9E Ch. C.1 - Prob. 10E

Ch. C.1 - Prob. 11E Ch. C.1 - Prob. 12E Ch. C.1 - Prob. 13E Ch. C.1 - Prob. 14E Ch. C.1 - Prob. 15E Ch. C.1 - Prob. 16E Ch. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18E Ch. C.1 - Prob. 19E Ch. C.1 - Prob. 20E Ch. C.1 - Prob. 21E Ch. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23E Ch. C.1 - Prob. 24E Ch. C.1 - Prob. 25E Ch. C.1 - Prob. 26E Ch. C.1 - Prob. 27E Ch. C.1 - Prob. 28E Ch. C.1 - Prob. 29E Ch. C.1 - Prob. 30E Ch. C.1 - Prob. 31E Ch. C.1 - Prob. 32E Ch. C.1 - Prob. 33E Ch. C.1 - Prob. 34E Ch. C.1 - Prob. 35E Ch. C.1 - Prob. 36E Ch. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38E Ch. C.1 - Prob. 39E Ch. C.1 - Prob. 40E Ch. C.1 - Prob. 41E Ch. C.1 - Prob. 42E Ch. C.1 - Prob. 43E Ch. C.1 - Prob. 44E Ch. C.1 - Prob. 45E Ch. C.1 - Prob. 46E Ch. C.1 - Prob. 47E Ch. C.1 - Prob. 48E Ch. C.1 - Prob. 49E Ch. C.1 - Prob. 50E Ch. C.1 - Prob. 51E Ch. C.1 - Prob. 52E Ch. C.1 - Prob. 53E Ch. 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C.3 - Prob. 37E Ch. C.3 - Prob. 38E Ch. C.3 - Prob. 39E Ch. C.3 - Prob. 40E Ch. C.3 - Prob. 41E Ch. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43E Ch. C.3 - Prob. 44E Ch. C.3 - Prob. 45E Ch. C.3 - Prob. 46E Ch. C.3 - Prob. 47E Ch. C.3 - Prob. 48E Ch. C.3 - Prob. 49E Ch. C.3 - Prob. 50E Ch. C.3 - Prob. 51E Ch. C.3 - Prob. 52E Ch. C.3 - Prob. 53E Ch. C.3 - Prob. 54E Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57E Ch. C.3 - Prob. 58E Ch. C.3 - Prob. 59E Ch. C.3 - Prob. 60E Ch. C.3 - Prob. 61E Ch. C.3 - Prob. 62E Ch. C.3 - Prob. 63E Ch. C.3 - Prob. 64E Ch. C.3 - Prob. 65E Ch. C.3 - Prob. 66E Ch. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68E Ch. C.3 - Prob. 69E Ch. C.3 - Prob. 70E Ch. C.3 - Prob. 71E Ch. C.3 - Prob. 72E Ch. C.3 - Prob. 73E Ch. C.3 - Prob. 74E Ch. C.3 - Prob. 75E Ch. C.3 - Prob. 76E Ch. C.3 - Prob. 77E Ch. C.3 - In Problems 45-50, solve each system of equations...Ch. C.3 - Prob. 79E Ch. C.3 - Prob. 80E Ch. C.3 - Finance Carissa has $20,000 to invest. Her...Ch. C.3 - Prob. 82E Ch. C.3 - Prob. 83E Ch. C.3 - Prob. 84E Ch. C.3 - Prob. 85E Ch. C.3 - Prob. 86E Ch. C.3 - Prob. 87E Ch. C.3 - Prob. 88E Ch. C.3 - Prob. 89E Ch. C.3 - Prob. 90E Ch. C.3 - Graphing calculators have the ability to solve...Ch. C.3 - Prob. 92E Ch. C.3 - Prob. 93E Ch. C.3 - Graphing calculators have the ability to solve...Ch. C.4 - D = |abcd| = _____________.Ch. C.4 - Prob. 2E Ch. C.4 - Prob. 3E Ch. C.4 - Prob. 4E Ch. C.4 - Prob. 5E Ch. C.4 - In Problems 5 and 6, use Cramers Rule to solve the...Ch. C.4 - Prob. 7E Ch. C.4 - Prob. 8E Ch. C.4 - Prob. 9E Ch. C.4 - Prob. 10E Ch. C.4 - Prob. 11E Ch. C.4 - Prob. 12E Ch. C.4 - Prob. 13E Ch. C.4 - Prob. 14E Ch. C.4 - Prob. 15E Ch. C.4 - Prob. 16E Ch. C.4 - Prob. 17E Ch. C.4 - Prob. 18E Ch. C.4 - In Problems 15-22, solve each system of equations...Ch. C.4 - Prob. 20E Ch. C.4 - Prob. 21E Ch. C.4 - Prob. 22E Ch. C.4 - Prob. 23E Ch. C.4 - Prob. 24E Ch. C.4 - Prob. 25E Ch. C.4 - Prob. 26E Ch. C.4 - Prob. 27E Ch. C.4 - Prob. 28E Ch. C.4 - Prob. 29E Ch. C.4 - Prob. 30E Ch. C.4 - Prob. 31E Ch. C.4 - Prob. 32E Ch. C.4 - Prob. 33E Ch. C.4 - Prob. 34E Ch. C.4 - Prob. 35E Ch. C.4 - Prob. 36E Ch. C.4 - Prob. 37E Ch. C.4 - Prob. 38E Ch. C.4 - Prob. 39E Ch. C.4 - Prob. 40E Ch. C.4 - Prob. 41E Ch. C.4 - Prob. 42E Ch. C.4 - Prob. 43E Ch. C.4 - Prob. 44E Ch. C.4 - Prob. 45E Ch. C.4 - Prob. 46E Ch. C.4 - Prob. 47E Ch. C.4 - Prob. 48E Ch. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50E Ch. C.4 - Prob. 51E Ch. C.4 - Prob. 52E Ch. C.4 - Prob. 53E Ch. C.4 - Prob. 54E Ch. C.4 - Prob. 55E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59E Ch. C.4 - Prob. 60E

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The system of linear equations { 4 x − 2 y = 9 − 8 x − 2 y = − 11 using the Cramers rule.

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Chapter C Solutions