Explanation Given information: The given system of equation is: 4 x − 3 y − 2 z = 12 8 x − 6 y − 4 z = 22 . Concept used: Cramer’s rule: Cramer’s rule is method that uses determinants to solve system of equations that have the same number of equation as variables. Consider a system of equations: a x + b y + c z = k 1 a 1 x + b 1 y + c 1 z = k 2 a 2 x + b 2 y + c 2 z = k 3 . Using Cramer’s can find that the value of as x = D x D , y = D y D , z = D z D ; D ≠ 0. D = a b c a 1 b 1 c 1 a 2 b 2 c 3 , D x = k 1 b c k 2 b 1 c 1 k 3 b 2 c 3 , D y = a k 1 c a 1 k 2 c 1 a 2 k 3 c 3 , D z = a b k 1 a 1 b 1 k 2 a 2 b 2 k 3 . Gaussian elimination method: If the system of equation in the form A X = B , after that make augmented matrix A : B that reduces by doing elementary row operation A ' : B ' .Then A ' as a upper triangular matrix. Now by using the backward substitution can find the value for given system of linear equations. Calculations: Here we cannot apply the Cramer’s rule since in this method using determinants to solve system of equations that have the same number of equation as variables. Here there are two equations and variables are three so cannot uses Apply Gaussian elimination to find the solution: Write system of equation in augmented matrix form 4 − 3 − 2 12 8 − 6 − 4 22

MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry

7th Edition

ISBN: 9780137393831

Author: ROBERT BLITZER

Publisher: Pearson Education (US)

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Question

Chapter 9.5, Problem 47E

To determine

To explain: why the system of equation cannot be solved using Cramer’s rule and use the Gaussian elimination to solve the system of equation.

4x−3y−2z=128x−6y−4z=22 .

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Chapter 9.5, Problem 46E

Chapter 9.5, Problem 48E

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Chapter 9 Solutions

MyLab Math with Pearson eText -- Combo Access Card (18-wk) for Algebra & Trigonometry

Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Prob. 3CVC Ch. 9.1 - Prob. 4CVC Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...Ch. 9.1 - In Exercises 18, write the augmented matrix for...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...

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why the system of equation cannot be solved using Cramer’s rule and use the Gaussian elimination to solve the system of equation. 4 x − 3 y − 2 z = 12 8 x − 6 y − 4 z = 22 .

To explain: why the system of equation cannot be solved using Cramer’s rule and use the Gaussian elimination to solve the system of equation. 4x−3y−2z=128x−6y−4z=22 .

Want to see the full answer?

Chapter 9 Solutions

To explain: why the system of equation cannot be solved using Cramer’s rule and use the Gaussian elimination to solve the system of equation.

4x−3y−2z=128x−6y−4z=22 .