Explanation Given Information: The given pair of equations are 4 x + 5 y = − 17 and 4 x + y = 13 . Calculation: Consider the equations 4 x + 5 y = − 17 and 4 x + y = 13 . Multiply the equation 4 x + y = 13 by − 1 on both the sides, we get, − 1 ( 4 x + y ) = − 1 ( 13 ) − 4 x − y = − 13 Now add the equations as, 4 x + 5 y = − 17 − 4 x − y = − 13 _ 0 + 4 y = − 30 Divide both sides by 4, y = − 30 4 y = − 15 2 Put y = − 15 2 in equation 4 x + 5 y = − 17 to get, 4 x + 5 y = − 17 4 x + 5 ( − 15 2 ) = − 17 4 x − 75 2 = − 17 4 x = − 34 + 75 2 Solve further, 4 x = 41 2 x = 41 8 Thus, the ordered pair of solution for the pair of equation 4 x + 5 y = − 17 and 4 x + y = 13 is ( 41 8 , − 15 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 9.2, Problem 10E

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To calculate: The solution set for the pair of equations 4x+5y=−174x+y=13, If there is no solution then determine whether the pair of lines is parallel or coincide.

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Chapter 9.2, Problem 9E

Chapter 9.2, Problem 11E

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Chapter 9 Solutions

Bundle: Elementary Technical Mathematics, Loose-leaf Version, 12th + WebAssign Printed Access Card, Single-Term

Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....

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The solution set for the pair of equations 4 x + 5 y = − 17 4 x + y = 13 , If there is no solution then determine whether the pair of lines is parallel or coincide.

Solution Summary: The author calculates the solution set for the pair of equations c4x+5y=-17 4x +y = 13end

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To calculate: The solution set for the pair of equations 4x+5y=−174x+y=13, If there is no solution then determine whether the pair of lines is parallel or coincide.

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Chapter 9 Solutions