Explanation The given system of equations are 2 x 2 + y 2 = 3 and x − y = 2 . The equation x − y = 2 can be written as x = 2 + y . Substitute x = 2 + y in the equation 2 x 2 + y 2 = 3 and obtain the value of u as follows. 2 x 2 + y 2 = 3 2 ( 2 + y ) 2 + y 2 = 3 3 y 2 + 8 y + 5 = 0 y = − 8 ± 64 − 60 6 On further simplification, y = − 8 ± 4 6 y = − 8 ± 2 6 y = − 1 or y = − 5 3 Substitute y = − 1 in x − y = 2

Basic Technical Mathematics with Calculus (11th Edition)

11th Edition

ISBN: 9780134437736

Author: Allyn J. Washington, Richard Evans

Publisher: PEARSON

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Chapter 14.2, Problem 1PE

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To solve: The system of equation 2x2+y2=3 and x−y=2 algebraically by substitution.

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Chapter 14.1, Problem 38E

Chapter 14.2, Problem 2PE

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Chapter 14 Solutions

Basic Technical Mathematics with Calculus (11th Edition)

Ch. 14.1 - In Example 7, determine how many times the rocket...Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E

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The system of equation 2 x 2 + y 2 = 3 and x − y = 2 algebraically by substitution.

To solve: The system of equation 2x2+y2=3 and x−y=2 algebraically by substitution.

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Chapter 14 Solutions