Explanation Given: A set of algebraic equations: 2 x + 3 y = 8 x − y = 4 5 x + y = 7 Graph: Write down the given set of equations in simplest form. First equation: 2 x + 3 y = 8 y = − 2 3 x + 8 3 Second equation: x − y = 4 y = x − 4 Third equation: 5 x + y = 7 y = − 5 x + 7 These equations represent equations of lines. Plot equations on graph. The figure shown below shows the graphical representation of given equations: For the system being consistent all lines must have a common intersection point but, in this case, there exists no point at all at which lines intersect. Hence, given system of equations is inconsistent and there exists no solution to the given set of equations. Write down given set of equations in form of augmented matrix. A = [ 2 3 1 − 1 5 1 ] , B = [ 8 4 7 ] , and [ A : B ] = [ 2 3 8 1 − 1 4 5 1 7 ] . Find the rank of matrix by elementary row operations

MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications in the Management, Natural, and Social Sciences (12th Edition)

12th Edition

ISBN: 9780134856551

Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins

Publisher: PEARSON

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Chapter 6.2, Problem 69E

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To graph: To plot given set of equations on graph and explain the inconsistency of system.

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Chapter 6.2, Problem 68E

Chapter 6.2, Problem 70E

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MyLab Math with Pearson eText -- Standalone Access Card -- for Mathematics with Applications in the Management, Natural, and Social Sciences (12th Edition)

Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2 Use the elimination method to solve...Ch. 6.1 - Checkpoint 3 Solve the system of equations . Draw...Ch. 6.1 - Checkpoint 4 Solve the following system: Ch. 6.1 - Checkpoint 5 Solve the system Draw the graph of...Ch. 6.1 - Prob. 6CP Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...

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