Explanation Given Information: The given pair of equations are 2 x − 3 y = 8 and 4 x − 3 y = 0 . Calculation: Consider the equations 2 x − 3 y = 8 and 4 x − 3 y = 0 . Multiply the equation 4 x − 3 y = 0 by − 1 on both the sides, we get, − 1 ( 4 x − 3 y ) = − 1 ( 0 ) − 4 x + 3 y = 0 Add both the equation − 4 x + 3 y = 0 and 2 x − 3 y = 8 as, 2 x − 3 y = 8 − 4 x + 3 y = 0 _ − 2 x + 0 = 8 − 2 x = 8 Divide both sides by 2, x = − 8 2 x = − 4 Put x = − 4 in equation 4 x − 3 y = 0 to get, 4 x − 3 y = 0 4 ( − 4 ) − 3 y = 0 − 16 − 3 y = 0 − 3 y = 16 Solve further, − 3 y = 16 y = − 16 3 Thus, the ordered pair of solution for the pair of equation 2 x − 3 y = 8 and 4 x − 3 y = 0 is ( − 4 , − 16 3 )

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 28E

To determine

To calculate: The solution set for the pair of equations 2x−3y=84x−3y=0, If there is no solution

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

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Chapter 9.2, Problem 27E

Chapter 9.2, Problem 29E

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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 2 x − 3 y = 8 4 x − 3 y = 0 , If there is no solution then determine whether the pair of lines is parallel or coincide.

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To calculate: The solution set for the pair of equations 2x−3y=84x−3y=0, If there is no solution

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

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Chapter 9 Solutions

The solution set for the pair of equations 2 x − 3 y = 8 4 x − 3 y = 0 , 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 c2x-3y=8 4x- 3y = 0. If there is no

Concept explainers

Videos

To calculate: The solution set for the pair of equations 2x−3y=84x−3y=0, 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−3y=84x−3y=0, If there is no solution

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