Explanation General method to complete ordered pair solutions: We have to graph linear equations in two variables. Before graphing we have to find the ordered pair of the given equation. If one coordinate of an ordered pair solution is known, the other coordinate can be determined. To find the unknown coordinate, replace the appropriate variable with the known coordinate in the equation. Doing so results in an equation with one variable that we can solve. Calculation: We have to complete the ordered pair solution ( , − 1 ) , ( , 1 ) , ( 41 , ) of the equation x = − 12 y + 5 In the ordered pair (, -1), the y - value is -1. To find the corresponding x- value, let y = − 1 in the equation x = − 12 y + 5 and calculate the value of x . x = − 12 y + 5 = − 12 ( − 1 ) + 5 = 12 + 5 x = 17 The ordered pair solution is ( 17 , − 1 ) . To check: Replace, x with 17 and y with -1 in the original equation. x = − 12 y + 5 17 = − 12 ( − 1 ) + 5 17 = 12 + 5 17 = 17 (True) So, the ordered pair solution is ( 17 , − 1 ) . In the ordered pair (, 1), the y - value is 1. To find the corresponding x- value, let y = 1 in the equation x = − 12 y + 5 and calculate the value of x . x = − 12 y + 5 = − 12 ( 1 ) + 5 = − 12 + 5 x = − 7 The ordered pair solution is ( − 7 , 1 )

8th Edition

ISBN: 9780134707648

Author: Martin-Gay, K. Elayn

Publisher: Pearson,

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Chapter 8.3, Problem 34E

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The ordered pair solution of the equation x=−12y+5

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Chapter 8.3, Problem 33E

Chapter 8.3, Problem 35E

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Ch. 8.1 - Prob. 1CC Ch. 8.1 - Prob. 1VRVC Ch. 8.1 - Prob. 2VRVC Ch. 8.1 - Prob. 3VRVC Ch. 8.1 - Prob. 4VRVC Ch. 8.1 - Prob. 5VRVC Ch. 8.1 - Prob. 6VRVC Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E

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