Explanation Given information: A linear equation in two variables as below: 5 x − 2 y = − 8 And the incomplete ordered pair solutions as below: ( 4 , ) , ( 0 , ) , ( − 2 , ) Calculation: Consider the linear equation in two variables as below: 5 x − 2 y = − 8 Transform the equation and solve for y as below: Subtract 5 x from both the sides. 5 x − 2 y = − 8 5 x − 2 y − 5 x = − 8 − 5 x − 2 y = − 8 − 5 x Divide by − 2 on both the sides: − 2 y = − 8 − 5 x y = 1 2 ( 5 x + 8 ) 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 ( 5 x + 8 ) Use the value of x from the incomplete ordered pair solutions ( 4 , ) , ( 0 , ) , ( − 2 , ) and substitute it in equation y = 1 2 ( 5 x + 8 ) to find the respective value of y . Make the table below for the calculations. x 1 2 ( 5 x + 8 ) y Ordered pairs 4 1 2 ( 5 ( 4 ) + 8 ) = 1 2 ( 20 + 8 ) = 14 14 ( 4 , 14 ) 0 1 2 ( 5 ( 0 ) + 8 ) = 1 2 ( 0 + 8 ) = 4 4 ( 0 , 4 ) − 2 1 2 ( 5 ( − 2 ) + 8 ) = 1 2 ( − 10 + 8 ) = − 1 − 1 ( − 2 , − 1 ) The complete ordered pair solutions are as below: ( 4 , 14 ) , ( 0 , 4 ) , ( − 2 , − 1 ) Check: Substitute the values ( 4 , 14 ) , ( 0 , 4 ) , ( − 2 , − 1 ) in the equation

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 8.1, Problem 17E

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To calculate: The complete three ordered pair solutions (4, ),(0, ),(−2, ) for the equation 5x−2y=−8.

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Chapter 8.1, Problem 16E

Chapter 8.1, Problem 18E

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Chapter 8 Solutions

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

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 ( 4 , ) , ( 0 , ) , ( − 2 , ) for the equation 5 x − 2 y = − 8 .

Solution Summary: The author calculates the value of y in the ordered pair solutions by subtracting 5x from both the sides.

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To calculate: The complete three ordered pair solutions (4, ),(0, ),(−2, ) for the equation 5x−2y=−8.

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Chapter 8 Solutions