Explanation Given information: A linear equation in two variables as below: 3 x − 4 y = 8 And the incomplete ordered pair solutions as below: ( 0 , ) , ( 2 , ) , ( − 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: 3 x − 4 y = 8 Transform the equation and solve for y as below: Subtract 3 x from both the sides. 3 x − 4 y = 8 3 x − 4 y − 3 x = 8 − 3 x − 4 y = 8 − 3 x Divide by − 4 on both the sides: − 4 y = 8 − 3 x y = 1 4 ( 3 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 4 ( 3 x − 8 ) Use the value of x from the incomplete ordered pair solutions ( 0 , ) , ( 2 , ) , ( − 4 , ) and substitute it in equation y = 1 4 ( 3 x − 8 ) to find the respective value of y . Make the table below for the calculations. x 1 4 ( 3 x − 8 ) y Ordered pairs 0 1 4 ( 3 ( 0 ) − 8 ) = 1 4 ( 0 − 8 ) = − 2 − 2 ( 0 , − 2 ) 2 1 4 ( 3 ( 2 ) − 8 ) = 1 4 ( 6 − 8 ) = − 1 2 − 1 2 ( 2 , − 1 2 ) − 4 1 4 ( 3 ( − 4 ) − 8 ) = 1 4 ( − 12 − 8 ) = − 5 − 5 ( − 4 , − 5 ) The complete ordered pair solutions are as below: ( 0 , − 2 ) , ( 2 , − 1 2 ) , ( − 4 , − 5 ) Check: Substitute the values ( 0 , − 2

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 5E

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To calculate: The complete three ordered pair solutions (0, ),(2, ),(−4, ) for the equation 3x−4y=8.

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Chapter 8.1, Problem 4E

Chapter 8.1, Problem 6E

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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 ( 0 , ) , ( 2 , ) , ( − 4 , ) for the equation 3 x − 4 y = 8 .

Solution Summary: The author calculates the three ordered pair solutions for the linear equation in two variables 3x-4y=8.

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To calculate: The complete three ordered pair solutions (0, ),(2, ),(−4, ) for the equation 3x−4y=8.

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Chapter 8 Solutions