Explanation Given information: A linear equation in two variables as below: 9 x − 2 y = 10 And the incomplete ordered pair solutions as below: ( 2 , ) , ( 0 , ) , ( − 4 , ) 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: 9 x − 2 y = 10 Transform the equation and solve for y as below: Subtract 9 x to both the sides. 9 x − 2 y = 10 9 x − 2 y − 9 x = 10 − 9 x − 2 y = 10 − 9 x Divide by − 2 on both the sides: − 2 y = 10 − 9 x y = 1 2 ( 9 x − 10 ) Then the value of y in the ordered pair solutions is calculated by substituting the value of x in the equation below: y = 1 2 ( 9 x − 10 ) Use the value of x from the incomplete ordered pair solutions ( 2 , ) , ( 0 , ) , ( − 4 , ) and substitute it in equation y = 1 2 ( 9 x − 10 ) to find the respective value of y . Make the table below for the calculations. x 1 2 ( 9 x − 10 ) y Ordered pairs 2 1 2 ( 9 ( 2 ) − 10 ) = 1 2 ( 18 − 10 ) = 4 4 ( 2 , 4 ) 0 1 2 ( 9 ( 0 ) − 10 ) = 1 2 ( 0 − 10 ) = − 5 − 5 ( 0 , − 5 ) − 4 1 2 ( 9 ( − 4 ) − 10 ) = 1 2 ( − 36 − 10 ) = − 23 − 23 ( − 4 , − 23 ) The complete ordered pair solutions are as below: ( 2 , 4 ) , ( 0 , − 5 ) , ( − 4 , − 23 ) Check: Substitute the values

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 9E

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To calculate: The complete three ordered pair solutions (2, ),(0, ),(−4, ) for the equation 9x−2y=10.

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Chapter 8.1, Problem 8E

Chapter 8.1, Problem 10E

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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 ( 2 , ) , ( 0 , ) , ( − 4 , ) for the equation 9 x − 2 y = 10 .

Solution Summary: The author calculates the three ordered pair solutions for the linear equation in two variables 9x-2y=10.

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To calculate: The complete three ordered pair solutions (2, ),(0, ),(−4, ) for the equation 9x−2y=10.

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Chapter 8 Solutions