Explanation Given Information: The given equations are, 2 x + y = 6 , y = − 2 x + 1 Graph: Consider the given equations, 2 x + y = 6 ...... (1) y = − 2 x + 1 ...... (2) Solve the first equation for y , 2 x + y = 6 y = 6 − 2 x Find three solutions for this equation, x y = 6 − 2 x y 0 6 − 2 ( 0 ) 6 2 6 − 2 ( 2 ) 2 4 6 − 2 ( 4 ) − 2 The solutions for the first equation are ( 0 , 6 ) , ( 2 , 2 ) , ( 4 , − 2 ) . Plot these three points on the graph and connect them with a line as follows,

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.1, Problem 19E

To determine

To graph: The pair of linear equations: 2x+y=6,y=−2x+1 and find the point of intersection. If lines do not intersect then state whether the lines are parallel or coincide.

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Chapter 9.1, Problem 18E

Chapter 9.1, Problem 20E

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To graph: The pair of linear equations: 2 x + y = 6 , y = − 2 x + 1 and find the point of intersection. If lines do not intersect then state whether the lines are parallel or coincide.

Solution Summary: The author explains how to graph a pair of linear equations and determine whether the lines are parallel or coincide.

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To graph: The pair of linear equations: 2x+y=6,y=−2x+1 and find the point of intersection. If lines do not intersect then state whether the lines are parallel or coincide.

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Chapter 9 Solutions