Explanation Given Information: The given pair of equations are 4 x − 5 y = 14 and 2 x + 3 y = − 4 . Calculation: Consider the equations 4 x − 5 y = 14 and 2 x + 3 y = − 4 Multiply the equation 2 x + 3 y = − 4 by − 2 on both the sides, we get, − 2 ( 2 x + 3 y ) = − 2 ( − 4 ) − 4 x − 6 y = 8 Now, add the equation as, 4 x − 5 y = 14 − 4 x − 6 y = 8 _ 0 − 11 y = 22 − 11 y = 22 Divide both sides by 11, − 11 y = 22 y = − 22 11 y = − 2 Put y = − 2 in equation 4 x − 5 y = 14 to get, 4 x − 5 y = 14 4 x − 5 ( − 2 ) = 14 4 x = 4 Divide both sides by 4, x = 4 4 x = 1 Thus, the ordered pair of solution for the pair of equation 4 x − 5 y = 14 and 2 x + 3 y = − 4 is ( 1 , − 2 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.2, Problem 13E

To determine

To calculate: The solution set for the pair of equations 4x−5y=142x+3y=−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 12E

Chapter 9.2, Problem 14E

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The solution set for the pair of equations 4 x − 5 y = 14 2 x + 3 y = − 4 , 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 4x−5y=142x+3y=−4, If there is no solution then

determine whether the pair of lines is parallel or coincide.

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The solution set for the pair of equations 4 x − 5 y = 14 2 x + 3 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-5y=14 and 2x+3y =-4. If there is no solution, determine

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To calculate: The solution set for the pair of equations 4x−5y=142x+3y=−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−5y=142x+3y=−4, If there is no solution then

determine whether the pair of lines is parallel or coincide.