To determine To solve: The system of equation x + 2 y = 3 and x 2 + y 2 = 26 algebraically by substitution. Explanation The given system of equations are x + 2 y = 3 and x 2 + y 2 = 26 . The above equation can be written as x = 3 − 2 y . Use the method of substitution and substitute x = 3 − 2 y in the equation x 2 + y 2 = 26 . x 2 + y 2 = 26 ( 3 − 2 y ) 2 + ( 3 − 2 y ) 2 = 26 9 − 12 y + 4 y 2 + y 2 = 26 5 y 2 − 12 y − 17 = 0 On further simplification, ( 5 y − 17 ) ( y + 1 ) = 0 5 y − 17 = 0 or y + 1 =0 y = 17 5 or y = − 1 Substitute y = 17 5 in the equation x + 2 y = 3 and obtain the value of x as follows

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

11th Edition

ISBN: 9780135902912

Author: Allyn J. Washington

Publisher: PEARSON

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Chapter 14.2, Problem 7E

To determine

To solve: The system of equation x+2y=3 and x2+y2=26 algebraically by substitution.

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Chapter 14.2, Problem 6E

Chapter 14.2, Problem 8E

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Chapter 14 Solutions

Mylab Math With Pearson Etext -- 18 Week Standalone Access Card -- For Basic Technical Mathematics With Calculus

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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