Explanation Given Information: The given pair of equations are − 3 x + 2 y = 5 and − 30 x + y = 12 . Calculation: Consider the equations − 3 x + 2 y = 5 and − 30 x + y = 12 . Multiply the equation − 30 x + y = 12 by − 2 on both the sides, we get, − 2 ( − 30 x + y ) = − 2 ( 12 ) 60 x − 2 y = − 24 Now, the two equations can be added as, − 3 x + 2 y = 5 60 x − 2 y = − 24 _ 57 x = − 19 Divide both sides by 57, x = − 19 57 x = − 1 3 Put x = − 1 3 in equation − 3 x + 2 y = 5 to get, − 3 x + 2 y = 5 − 3 ( − 1 3 ) + 2 y = 5 1 + 2 y = 5 2 y = 4 Further solved, y = 4 2 y = 2 Thus, the ordered pair of solution for the pair of equation − 3 x + 2 y = 5 and − 30 x + y = 12 is ( − 1 3 , 2 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.2, Problem 38E

To determine

To calculate: The solution set for the pair of equations −3x+2y=5−30x+y=12, If there is no solution

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

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Chapter 9.2, Problem 37E

Chapter 9.2, Problem 39E

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Chapter 9 Solutions

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The solution set for the pair of equations − 3 x + 2 y = 5 − 30 x + 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 c-3x+2y=5 -30x +y =12

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To calculate: The solution set for the pair of equations −3x+2y=5−30x+y=12, 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 − 3 x + 2 y = 5 − 30 x + 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 c-3x+2y=5 -30x +y =12

Concept explainers

Videos

To calculate: The solution set for the pair of equations −3x+2y=5−30x+y=12, 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 −3x+2y=5−30x+y=12, If there is no solution

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