Explanation Consider the provided information: Solutions of system of equations involving fraction using substitution method. Since, in substitution method we use algebraic laws to solve a system of equations. We follow algebraic distributive law, addition law, multiplication law etc. Consider a system of equation involving fraction, x 2 + y 2 = 5 …… (1) And, x 2 − y 2 = 1 …… (2) Now, solve the above equations using substitution method. Solve equation ( 1 ) for x , x 2 + y 2 = 5 Add − y 2 both sides, x 2 + y 2 − y 2 = 5 − y 2 x 2 = 10 − y 2 x = 10 − y Put x = 10 − y in equation ( 2 ) 10 − y 2 − y 2 = 1 10 − y − y 2 = 1 10 − 2 y = 2 Add − 2 to both sides, 10 − 2 − 2 y

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ISBN: 9780321997173

Author: Marvin L. Bittinger, Judith A. Beecher

Publisher: PEARSON

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Chapter 13.2, Problem 2RC

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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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Whether the statement “we can find solutions of system of equations involving fraction using substitution method” is true or false.

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Chapter 13 Solutions