Explanation Given Information: The given equations are, 2 x − 4 y = 8 , 3 x − 6 y = 12 Graph: Consider the given first equation, 2 x − 4 y = 8 Solve the first equation for y , 2 x − 4 y = 8 2 ( x − 2 y ) = 8 x − 2 y = 8 2 x − 2 y = 4 So, − 2 y = 4 − x y = 4 − x − 2 Find three solutions for this equation as: x y = 4 − x − 2 y 0 4 − ( 0 ) − 2 = 4 − 2 − 2 2 4 − ( 2 ) − 2 = 2 − 2 − 1 − 2 4 − ( − 2 ) − 2 = 6 − 2 − 3 The three solutions for the first equation are ( 0 , − 2 ) , ( 2 , − 1 ) , ( − 2 , − 3 ) . Now, consider the second equation 3 x − 6 y = 12

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

12th Edition

ISBN: 9781337890199

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.1, Problem 7E

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To graph: The pair of linear equations 2x−4y=83x−6y=12, then determine the point of intersection or state whether the lines are parallel or coincide.

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Chapter 9.1, Problem 6E

Chapter 9.1, Problem 8E

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Chapter 9 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....

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To graph: The pair of linear equations 2 x − 4 y = 8 3 x − 6 y = 12 , then determine the point of intersection or state whether the lines are parallel or coincide.

Solution Summary: The author analyzes the pair of linear equations c2x-4y=8 and determines whether the lines are parallel or coincide.

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To graph: The pair of linear equations 2x−4y=83x−6y=12, then determine the point of intersection or state whether the lines are parallel or coincide.

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