Explanation Given Information: The given pair of equations are 5 x − 7 y = − 20 and 3 x − 19 y = − 12 . Calculation: Consider the equations 5 x − 7 y = − 20 and 3 x − 19 y = − 12 . Multiply the equation 5 x − 7 y = − 20 by 3 on both the sides, we get, 3 ( 5 x − 7 y ) = 3 ( − 20 ) 15 x − 21 y = − 60 And multiply the equation 3 x − 19 y = − 12 by − 5 on both the sides, we get, − 5 ( 3 x − 19 y ) = − 5 ( − 12 ) − 15 x + 95 y = 60 Now add the equations 15 x − 21 y = − 60 and − 15 x + 95 y = 60 as, 15 x − 21 y = − 60 − 15 x + 95 y = 60 _ 0 + 74 y = 0 y = 0 Put y = 0 in equation 5 x − 7 y = − 20 as, 5 x − 7 y = − 20 5 x − 7 ( 0 ) = − 20 5 x − 0

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 22E

To determine

To calculate: The solution set for the pair of equations 5x−7y=−203x−19y=−12, If there is no solution

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

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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 5 x − 7 y = − 20 3 x − 19 y = − 12 , 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 c5x-7y=-20 3x-19y =-12

Concept explainers

Videos

To calculate: The solution set for the pair of equations 5x−7y=−203x−19y=−12, If there is no solution

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

Chapter 9 Solutions

The solution set for the pair of equations 5 x − 7 y = − 20 3 x − 19 y = − 12 , 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 c5x-7y=-20 3x-19y =-12

Concept explainers

Videos

To calculate: The solution set for the pair of equations 5x−7y=−203x−19y=−12, If there is no solution then determine whether the pair of lines is parallel or coincide.

Chapter 9 Solutions

To calculate: The solution set for the pair of equations 5x−7y=−203x−19y=−12, If there is no solution

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