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: 24


$(x,y,z)=(5t+2,2t-1,t)$; $t$ refers to a real number.

Work Step by Step

Consider $y-2z=-1 \implies y=2z-1$ Suppose $z=t$ This implies $y=2t-1$ Now, $x-3y+z=5 \implies x-3(2t-1)+t=5$ or, $x=5t+2$ Our result is : $(x,y,z)=(5t+2,2t-1,t)$; $t$ refers to a real number.
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