Explanation Given Information: The given pair of equations are 3 x − 7 y = − 9 and 2 x + 14 y = − 6 . Calculation: Consider the equations 3 x − 7 y = − 9 and 2 x + 14 y = − 6 . Multiply the equation 3 x − 7 y = − 9 by 2 on both the sides, we get, 2 ( 3 x − 7 y ) = 2 ( − 9 ) 6 x − 14 y = − 18 Now, add the two equations as, 6 x − 14 y = − 18 2 x + 14 y = − 6 _ 8 x = − 24 Divide both sides by 8, x = − 24 8 x = − 3 Put x = − 3 in equation 3 x − 7 y = − 9 to get, 3 x − 7 y = − 9 3 ( − 3 ) − 7 y = − 9 − 7 y = 0 y = 0 Thus, the ordered pair of solution for the pair of equation 3 x − 7 y = − 9 and 2 x + 14 y = − 6 is ( − 3 , 0 )

11th Edition

ISBN: 9781285199191

Author: Dale Ewen, C. Robert Nelson

Publisher: Cengage Learning

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Chapter 9.2, Problem 30E

To determine

To calculate: The solution set for the pair of equations 3x−7y=−92x+14y=−6, If there is no solution

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

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Chapter 9.2, Problem 29E

Chapter 9.2, Problem 31E

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The solution set for the pair of equations 3 x − 7 y = − 9 2 x + 14 y = − 6 , 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 3x−7y=−92x+14y=−6, 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−7y=−92x+14y=−6, If there is no solution

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