Explanation Given information: A linear equation in two variables as below: 6 x − y = 0 And the incomplete ordered pair solutions as below: ( 3 , ) , ( 5 , ) , ( − 2 , ) Formula used: The ordered pair ( x , y ) is the solution for the linear equation in two variables a x + b y = c , if it satisfies the equation, that is on substituting the values of x and y right side of the equation equals the left side. Calculation: Consider the linear equation in two variables as below: 6 x − y = 0 Transform the equation and solve for y as below: Subtract 6 x from both the sides. 6 x − y = 0 6 x − y − 6 x = 0 − 6 x − y = − 6 x Divide by − 1 on both the sides: − y = − 6 x y = 6 x Then the value of y in the ordered pair solutions is calculated by substituting the value of x in the equation below: y = 6 x Use the value of x from the incomplete ordered pair solutions ( 3 , ) , ( 5 , ) , ( − 2 , ) and substitute it in equation y = 6 x to find the respective value of y . Make the table below for the calculations. x 6 x y Ordered pairs 3 6 ( 3 ) = 18 18 ( 3 , 18 ) 5 6 ( 5 ) = 30 30 ( 5 , 30 ) − 2 6 ( − 2 ) = − 12 − 12 ( − 2 , − 12 ) The complete ordered pair solutions are as below: ( 3 , 18 ) , ( 5 , 30 ) , ( − 2 , − 12 ) Check: Substitute the values ( 3 , 18 ) , ( 5 , 30 ) , ( − 2 , − 12 ) in the equation 6 x − y

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 8.1, Problem 4E

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To calculate: The complete three ordered pair solutions (3, ),(5, ),(−2, ) for the equation 6x−y=0.

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Chapter 8.1, Problem 3E

Chapter 8.1, Problem 5E

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Chapter 8 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E

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The complete three ordered pair solutions ( 3 , ) , ( 5 , ) , ( − 2 , ) for the equation 6 x − y = 0 .

Solution Summary: The author calculates the three ordered pair solutions for the equation 6x-y=0.

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To calculate: The complete three ordered pair solutions (3, ),(5, ),(−2, ) for the equation 6x−y=0.

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Chapter 8 Solutions