Explanation Given Information: The given equations are, x − y = 5 , 2 x − 3 y = 5 Graph: Consider the given equations, x − y = 5 ……(1) 2 x − 3 y = 5 ……(2) Solve the first equation for y , x − y = 5 − y = 5 − x Divide both the sided by − 1 y = x − 5 ……(3) Find three solutions for this equation, x y = x − 5 y 0 ( 0 ) − 5 − 5 − 2 ( − 2 ) − 5 − 7 3 ( 3 ) − 5 − 2 The solutions for the first equation are ( 0 , − 5 ) , ( − 2 , − 7 ) , ( 3 , − 2 ) . Plot these three points on the graph and connect them with a line as follows, Now, solve the second equation for y , 2 x − 3 y = 5 − 3 y = 5 − 2 x 3 y = 2 x − 5 Divide both the sided by 3 y = 2 x − 5 3 …… (4) Now, find three solutions for this equation, x y = 2 x − 5 3 y 1 2 ( 1 ) − 5 3 = − 3 3 − 1 − 2 2 ( − 2 ) − 5 3 = − 9 3 − 3 4 2 ( 4 ) − 5 3 = 3 3 1 The solutions for the second equation are ( 1 , − 1 ) , ( − 2 , − 3 ) , ( 4 , 1 )

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

11th Edition

ISBN: 9781285199276

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.1, Problem 24E

To determine

To graph: The pair of linear equations: x−y=5, 2x−3y=5 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 23E

Chapter 9.1, Problem 25E

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Chapter 9 Solutions

Student Solutions Manual For Ewen/nelson's Elementary Technical Mathematics, 11th

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: x − y = 5 , 2 x − 3 y = 5 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 lines do not intersect then state whether the lines are parallel or coincide.

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