Explanation Given Information: The given pair of equations are 3 x − 2 y = 10 and 3 x + 4 y = 20 . Calculation: Consider the equations 3 x − 2 y = 10 and 3 x + 4 y = 20 . Multiply the equation 3 x − 2 y = 10 by 2 on both the sides, we get, 2 ( 3 x − 2 y ) = 2 ( 10 ) 6 x − 4 y = 20 Now add the equations as, 6 x − 4 y = 20 3 x + 4 y = 20 _ 9 x + 0 = 40 9 x = 40 Divide both sides by 9, x = 40 9 Put x = 40 9 in equation 3 x + 4 y = 20 to get, 3 x + 4 y = 20 3 ( 40 9 ) + 4 y = 20 40 3 + 4 y = 20 4 y = 20 − 40 3 Solve further, 4 y = 60 − 40 3 4 y = 20 3 y = 20 3 ⋅ 4 y = 5 3 Thus, the ordered pair of solution for the pair of equation 3 x − 2 y = 10 and 3 x + 4 y = 20 is ( 40 9 , 5 3 )

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 9.2, Problem 8E

To determine

To calculate: The solution for the pair of equations 3x−2y=103x+4y=20, If there is no solution then

determine whether the pair of lines is parallel or coincide.

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Chapter 9.2, Problem 7E

Chapter 9.2, Problem 9E

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The solution for the pair of equations 3 x − 2 y = 10 3 x + 4 y = 20 , 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 for the pair of equations c3x-2y=10 3x+4y =20

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To calculate: The solution for the pair of equations 3x−2y=103x+4y=20, 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 for the pair of equations 3 x − 2 y = 10 3 x + 4 y = 20 , 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 for the pair of equations c3x-2y=10 3x+4y =20

Concept explainers

Videos

To calculate: The solution for the pair of equations 3x−2y=103x+4y=20, 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 for the pair of equations 3x−2y=103x+4y=20, If there is no solution then

determine whether the pair of lines is parallel or coincide.