Explanation Given Information: The provided options are, ( A ) Equal ( B ) Parallel ( C ) Perpendicular ( D ) Not parallel Consider the statement, “If the addition or subtraction of two linear equations results in the equation 0 = 3 , then the graphs of those equations are”. The condition 0 = 3 happens when the system of linear equations has no solution. Therefore, the lines corresponding to the equations does not intersect. To find out the correct option, let’s take an example as, For example: Consider the equations, 2 x + 2 y = 3 …… (1) − 2 x − 2 y = 0 …… (2) Add the equations (1) and (2), 2 x + 2 y = 3 − 2 x − 2 y = 0 _ 0 = 3 To plot the graph of the equations, find the ordered pairs of the equation. Consider the equation, 2 x + 2 y = 3 Substitute x = 0 in the equation 2 x + 2 y = 3 , 2 ( 0 ) + 2 y = 3 2 y = 3 y = 3 2 Substitute x = 3 in the equation 2 x + 2 y = 3 , 2 ( 3 ) + 2 y = 3 6 + 2 y = 3 2 y = 3 − 6 y = − 3 2 Substitute x = − 5 in the equation 2 x + 2 y = 3 , 2 ( − 5 ) + 2 y = 3 − 10 + 2 y = 3 2 y = 13 y = 13 2

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 4.1, Problem 77E

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The correct option for the statement, “If the addition or subtraction of two linear equations results in the equation 0=3, then the graphs of those equations are” from the provided options.

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Chapter 4 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...

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The correct option for the statement, “If the addition or subtraction of two linear equations results in the equation 0 = 3 , then the graphs of those equations are” from the provided options.

Solution Summary: The author explains the correct option for the statement, "If the addition or subtraction of two linear equations results in the equation 0=3, then the graphs of those equation are".

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The correct option for the statement, “If the addition or subtraction of two linear equations results in the equation 0=3, then the graphs of those equations are” from the provided options.

Chapter 4 Solutions