Explanation Given Information: The system of equations, A x − 3 y = 13 x − B y = 8 Formula used: Multiplication property of equality: A = B and A ⋅ C = B ⋅ C are equivalent where C ≠ 0 . Addition property of equality: A = B and A + C = B + C are equivalent. Where, A , B and C are real numbers. Calculation: Consider the provided equations, A x − 3 y = 13 …… (1) x − B y = 8 …… (2) Since the solution of the equations is ( 2 , − 3 ) so this will satisfy the equations. Put the value x = 2 and y = − 3 in the equation ( 1 ) . Thus, A ( 2 ) − 3 ( − 3 ) = 13 2 A + 9 = 13 Use addition property, add ( − 9 ) to both sides of the above equations, 2 A +<

9th Edition

ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.1, Problem 35ES

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To calculate: The value of A and B if the point (2,−3) is the solution of the system of equations,

Ax−3y=13 x−By=8

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Chapter 13.1, Problem 34ES

Chapter 13.1, Problem 36ES

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Chapter 13 Solutions

Developmental Mathematics (9th Edition)

Ch. 13.1 - Prob. 1SR Ch. 13.1 - Prob. 2SR Ch. 13.1 - Prob. 1DE Ch. 13.1 - Prob. 2DE Ch. 13.1 - Prob. 3DE Ch. 13.1 - Prob. 4DE Ch. 13.1 - Prob. 5DE Ch. 13.1 - Prob. 6DE Ch. 13.1 - Prob. 7DE Ch. 13.1 - Prob. 8DE

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The value of A and B if the point ( 2 , − 3 ) is the solution of the system of equations, A x − 3 y = 13 x − B y = 8

Solution Summary: The author calculates the value of AandB if the point (2,-3) is the solution of the system of equations.

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To calculate: The value of A and B if the point (2,−3) is the solution of the system of equations,

Ax−3y=13 x−By=8

Want to see the full answer?

Chapter 13 Solutions

The value of A and B if the point ( 2 , − 3 ) is the solution of the system of equations, A x − 3 y = 13 x − B y = 8

Solution Summary: The author calculates the value of AandB if the point (2,-3) is the solution of the system of equations.

Videos

To calculate: The value of A and B if the point (2,−3) is the solution of the system of equations, Ax−3y=13 x−By=8

Want to see the full answer?

Chapter 13 Solutions

To calculate: The value of A and B if the point (2,−3) is the solution of the system of equations,

Ax−3y=13 x−By=8