Explanation Given Information: The given equations are, x + y = 4 , 2 x + y = 5 Graph: Consider the given first equation, x + y = 4 Solve the first equation for y , x + y = 4 y = 4 − x Find three solutions for this equation as: x y = 4 − x y 0 4 − ( 0 ) 4 2 4 − ( 2 ) 2 − 2 4 − ( − 2 ) 6 The three solutions for the first equation are ( 0 , 4 ) , ( 2 , 2 ) , ( − 2 , 6 ) . Now, consider the second equation 2 x + y = 5 . Solve the second equation for y , 2 x + y = 5 y = 5 − 2 x Find three solutions for this equation as: x y = 5 − 2 x y 0 5 − 2 ( 0 ) = 5 − 0 5 2 5 − 2 ( 2 ) =

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.1, Problem 6E

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To graph: The pair of linear equations x+y=42x+y=5, then determine the point of intersection or state whether the lines are parallel or coincide.

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Chapter 9.1, Problem 5E

Chapter 9.1, Problem 7E

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To graph: The pair of linear equations x + y = 4 2 x + y = 5 , then determine the point of intersection or state whether the lines are parallel or coincide.

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To graph: The pair of linear equations x+y=42x+y=5, then determine the point of intersection or state whether the lines are parallel or coincide.

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Chapter 9 Solutions