Explanation Given Information: The given pair of equations are 2 x + 5 y = 15 and 7 x + 5 y = − 10 . Calculation: Consider the equations 2 x + 5 y = 15 and 7 x + 5 y = − 10 . Multiply the equation 7 x + 5 y = − 10 by − 1 on both the sides, we get, − 1 ( 7 x + 5 y ) = − 1 ( − 10 ) − 7 x − 5 y = 10 Now add the equations as, 2 x + 5 y = 15 − 7 x − 5 y = 10 _ − 5 x + 0 = 25 − 5 x = 25 Divide both sides by 5, − 5 x 5 = 25 5 x = − 25 5 x = − 5 Put x = − 5 in equation 2 x + 5 y = 15 to get, 2 x + 5 y = 15 2 ( − 5 ) + 5 y = 15 − 10 + 5 y = 15 5 y = 15 + 10 5 y = 25 Solve further, y = 25 5 y = 5 Thus, the ordered pair of solution for the pair of equation 2 x + 5 y = 15 and 7 x + 5 y = − 10 is ( − 5 , 5 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.2, Problem 9E

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To calculate: The solution set for the pair of equations 2x+5y=157x+5y=−10, If there is no solution then determine whether the pair of lines is parallel or coincide.

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Chapter 9.2, Problem 8E

Chapter 9.2, Problem 10E

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The solution set for the pair of equations 2 x + 5 y = 15 7 x + 5 y = − 10 , If there is no solution then determine whether the pair of lines is parallel or coincide.

Solution Summary: The author explains how to calculate the solution set for the pair of equations c2x+5y=15 and 7x-

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To calculate: The solution set for the pair of equations 2x+5y=157x+5y=−10, If there is no solution then determine whether the pair of lines is parallel or coincide.

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Chapter 9 Solutions