Explanation Given Information: The given equations are, 2 x + 8 y = 9 4 x + 4 y = 3 Graph: Consider the given equations, 2 x + 8 y = 9 ...... (1) And, 4 x + 4 y = 3 ...... (2) Solve the first equation for y , 2 x + 8 y = 9 8 y = 9 − 2 x Divide both the side by 8, y = 9 − 2 x 8 ...... (3) Find three solutions for this equation, x y = 9 − 2 x 8 y 0 9 − 2 ( 0 ) 8 9 8 − 4 9 − 2 ( − 4 ) 8 = 9 + 8 8 17 8 − 8 9 − 2 ( − 8 ) 8 = 9 + 16 8 25 8 The solutions for the first equation are ( 0 , 9 8 ) , ( − 4 , 17 8 ) , ( − 8 , 25 8 ) , Plot these three points on the graph and connect them with a line as follows, Now, solve the second equation for y , 4 x + 4 y = 3 4 y = 3 − 4 x Dive both the side by 4, y = 3 − 4 x 4 ...... (4) Now, find three solutions for this equation, x y = 3 − 4 x 4 y 2 3 − 4 ( 2 ) 4 = 3 − 8 4 − 5 4 − 2 3 − 4 ( − 2 ) 4 = 3 + 8 4 11 4 3 3 − 4 ( 3 ) 4 = 3 − 12 4 − 9 4 The solutions for the second equation are ( 2 , − 5 4 ) , ( − 2 , 11 4 ) , ( 3 , − 9 4 )

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 26E

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To graph: The pair of linear equations: 2x+8y=9, 4x+4y=3 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 25E

Chapter 9.1, Problem 27E

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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 + 8 y = 9 , 4 x + 4 y = 3 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 find the point of intersection. If the lines do not intersect then state whether they are parallel or coincide.

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To graph: The pair of linear equations: 2x+8y=9, 4x+4y=3 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