Explanation Given Information: The given pair of equations are 4 x + 3 y = 17 and 2 x − y = − 4 . Calculation: Consider the equations 4 x + 3 y = 17 and 2 x − y = − 4 . Multiply the equation 2 x − y = − 4 by 3 on both the sides, we get, 3 ( 2 x − y ) = 3 ( − 4 ) 6 x − 3 y = − 12 Now, add the two equations as, 4 x + 3 y = 17 6 x − 3 y = − 12 _ 10 x = 5 Divide both sides by 10, x = 5 10 x = 1 2 Put x = 1 2 in equation 2 x − y = − 4 as, 2 x − y = − 4 2 ( 1 2 ) − y = − 4 y = 1 + 4 y = 5 Thus, the ordered pair of solution for the pair of equation 4 x + 3 y = 17 and 2 x − y = − 4 is ( 1 2 , 5 )

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.2, Problem 33E

To determine

To calculate: The solution set for the pair of equations 4x+3y=172x−y=−4, If there is no solution

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

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Chapter 9.2, Problem 32E

Chapter 9.2, Problem 34E

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The solution set for the pair of equations 4 x + 3 y = 17 2 x − y = − 4 , 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+3y=17 2x-y =-4end

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To calculate: The solution set for the pair of equations 4x+3y=172x−y=−4, 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 4 x + 3 y = 17 2 x − y = − 4 , 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+3y=17 2x-y =-4end

Concept explainers

Videos

To calculate: The solution set for the pair of equations 4x+3y=172x−y=−4, 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 4x+3y=172x−y=−4, If there is no solution

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