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: 45

Answer

$x_{1}$=8 ; $x_{2}$=7

Work Step by Step

(1) 0.02$x_{1}$ - 0.05$x_{2}$ = -0.19 (2) 0.03$x_{1}$ + 0.04$x_{2}$ = 0.52 100$R_{1}$→$R_{1}$ (3) 2$x_{1}$ - 5$x_{2}$ = -19 (2) 0.03$x_{1}$ + 0.04$x_{2}$ = 0.52 100$R_{2}$→$R_{2}$ (3) 2$x_{1}$ - 5$x_{2}$ = -19 (4) 3$x_{1}$ + 4$x_{2}$ = -104 3$R_{2}$→$R_{2}$ -2$R_{2}$→$R_{2}$ (5) 6$x_{1}$ - 15$x_{2}$ = -57 (6) -6$x_{1}$ - 8$x_{2}$ = 52 $R_{1}$+$R_{2}$→$R_{2}$ -23$x_{2}$ = -161 $x_{2}$ = 7, plug this value into "(5)" 6$x_{1}$ - 15(7) = -57 $x_{1}$ = 8
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