Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - 1.1 Introduction to Systems of Linear Equations - 1.1 Exercises - Page 10: 40


Ans: $x_{1}=0, x_{2}=0$

Work Step by Step

Step 1: Put $2x_{2}$ to one side First equation: $x_{1}-2x_{2}=0$ $2x_{2}=x_{1}$ Second equation: $6x_{1}+2x_{2}=0$ $2x_{2}=-6x_{1}$ Step 2: The term on the other side of $2x_{2}$ will be equal, so make an equation and solve $2x_{1}$ $x_{1}=-6x_{1}$ $7x_{1}=0$ $x_{1}=0$ Step 3: Substitute $x_{1}$ to equation in Step 1 to solve $x_{2}$ $0-2x_{2}=0$ $x_{2}=0$
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