Explanation Given information: A linear equation in two variables as below: 2 x + 7 y = − 12 And the incomplete ordered pair solutions as below: ( 1 , ) , ( 0 , ) , ( − 8 , ) Calculation: Consider the linear equation in two variables as below: 2 x + 7 y = − 12 Transform the equation and solve for y as below: Subtract 2 x from both the sides. 2 x + 7 y = − 12 2 x + 7 y − 2 x = − 12 − 2 x 7 y = − 12 − 2 x Divide by 7 on both the sides: 7 y = − 12 − 2 x y = 1 7 ( − 12 − 2 x ) Then the value of y in the ordered pair solutions is calculated by substitution of the value of x in the equation below: y = 1 7 ( − 12 − 2 x ) Use the value of x from the incomplete ordered pair solutions ( 1 , ) , ( 0 , ) , ( − 8 , ) and substitute it in equation y = 1 7 ( − 12 − 2 x ) to find the respective value of y . Make the table below for the calculations: x 1 7 ( − 12 − 2 x ) y Ordered pairs 1 1 7 ( − 12 − 2 ( 1 ) ) = 1 7 ( − 12 − 2 ) = − 2 − 2 ( 1 , − 2 ) 0 1 7 ( − 12 − 2 ( 0 ) ) = 1 7 ( − 12 − 0 ) = − 12 7 − 12 7 ( 0 , − 12 7 ) − 8 1 7 ( − 12 − 2 ( − 8 ) ) = 1 7 ( − 12 + 16 ) = 4 7 4 7 ( − 8 , 4 7 ) The complete ordered pair solutions are as below: ( 1 , − 2 ) , ( 0 , − 12 7 ) , ( − 8 , 4 7 ) Check: Substitute the values ( 1 , − 2 ) , ( 0 , − 12 7 ) , ( − 8 , 4 7

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 8.1, Problem 20E

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To calculate: The complete three ordered pair solutions (1, ),(0, ),(−8, ) for the equation 2x+7y=−12.

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Chapter 8.1, Problem 19E

Chapter 8.1, Problem 21E

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Chapter 8 Solutions

Elementary Technical Mathematics

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 ( 1 , ) , ( 0 , ) , ( − 8 , ) for the equation 2 x + 7 y = − 12 .

Solution Summary: The author calculates the value of y in the ordered pair solutions by subtracting 2x from both the sides.

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To calculate: The complete three ordered pair solutions (1, ),(0, ),(−8, ) for the equation 2x+7y=−12.

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Chapter 8 Solutions