Explanation Given Information: The given pair of equations are 2 x + 5 y = − 1 and 3 x − 2 y = 8 . Calculation: Consider the equations 2 x + 5 y = − 1 and 3 x − 2 y = 8 . Multiply the equation 2 x + 5 y = − 1 by 2 on both the sides, we get, 2 ( 2 x + 5 y ) = 2 ( − 1 ) 4 x + 10 y = − 2 And multiply the equation 3 x − 2 y = 8 by 5 on both the sides, we get, 5 ( 3 x − 2 y ) = 5 ( 8 ) 15 x − 10 y = 40 Now add the equations 4 x + 10 y = − 2 and 15 x − 10 y = 40 as, 4 x + 10 y = − 2 15 x − 10 y = 40 _ 19 x = 38 Divide both sides by 19, x = 38 19 x = 2 Put x = 2 in equation 2 x + 5 y = − 1 to get, 2 x + 5 y = − 1 2 ( 2 ) + 5 y = − 1 4 + 5 y = − 1 5 y = − 5 Divide both sides by 5, y = − 5 5 y = − 1 Thus, the ordered pair of solution for the pair of equation 2 x + 5 y = − 1 and 3 x − 2 y = 8 is ( 2 , − 1 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.2, Problem 29E

To determine

To calculate: The solution set for the pair of equations 2x+5y=−13x−2y=8, If there is no solution

then determine whether the pair of lines is parallel or coincide.

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Chapter 9.2, Problem 28E

Chapter 9.2, Problem 30E

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The solution set for the pair of equations 2 x + 5 y = − 1 3 x − 2 y = 8 , 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 l2x+5y=-1 3x-2y =8

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To calculate: The solution set for the pair of equations 2x+5y=−13x−2y=8, If there is no solution

then determine whether the pair of lines is parallel or coincide.

Want to see the full answer?

Chapter 9 Solutions

The solution set for the pair of equations 2 x + 5 y = − 1 3 x − 2 y = 8 , 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 l2x+5y=-1 3x-2y =8

Concept explainers

Videos

To calculate: The solution set for the pair of equations 2x+5y=−13x−2y=8, If there is no solution then determine whether the pair of lines is parallel or coincide.

Want to see the full answer?

Chapter 9 Solutions

To calculate: The solution set for the pair of equations 2x+5y=−13x−2y=8, If there is no solution

then determine whether the pair of lines is parallel or coincide.