Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 2 - Systems of Linear Equations - 2.1 Introduction to Systems of Linear Equations - Exercises 2.1 - Page 63: 8

Answer

x + y = 1 provided x is not equal to y

Work Step by Step

the equation is simplified by splitting (x^{2}+y^{2}) into (x-y) (x+y) then the (x-y) from the numerator and denominator can cancel leaving the answer. see photo for further work.
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