Explanation Given Information: The given equations are, 4 x + 3 y = 2 , 5 x − y = 12 Graph: Consider the given equations, 4 x + 3 y = 2 ...... (1) 5 x − y = 12 ...... (2) Solve the first equation for y , 4 x + 3 y = 2 3 y = 2 − 4 x Dive both the side by 3, y = 2 − 4 x 3 ...... (3) Find three solutions for this equation, x y = 2 − 4 x 3 y − 1 2 − 4 ( − 1 ) 3 = 6 3 2 2 2 − 4 ( 2 ) 3 = − 6 3 − 2 − 4 2 − 4 ( − 4 ) 3 = 18 3 6 The solutions for the first equation are ( − 1 , 2 ) , ( 2 , − 2 ) , ( − 4 , 6 ) . Plot these three points on the graph and connect them with a line as follows, Now, solve the second equation for y , 5 x − y = 12 − y = 12 − 5 x Divide both the side by − 1 , y = 5 x − 12 ...... (4) Now, find three solutions for this equation, x y = 5 x − 12 y 2 5 ( 2 ) − 12 − 2 3 5 ( 3 ) − 12 3 4 5 ( 4 ) − 12 8 The solutions for the second equation are ( 2 , − 2 ) , ( 3 , 3 ) , ( 4 , 8 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.1, Problem 21E

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To graph: The pair of linear equations: 4x+3y=2,5x−y=12 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 20E

Chapter 9.1, Problem 22E

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Chapter 9 Solutions

Elementary Technical Mathematics

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: 4 x + 3 y = 2 , 5 x − y = 12 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: 4x+3y=2,5x-y =12 and find the point of intersection.

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To graph: The pair of linear equations: 4x+3y=2,5x−y=12 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