Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.4 Systems of Equations in Three Variables - 8.4 Exercise Set - Page 537: 12

Answer

$$z=-1,\:y=5,\:x=-4$$

Work Step by Step

Solving the system of equations using substitution, we find: $$ 2\left(4-\left(-7z-2\right)+3z\right)-\left(-7z-2\right)+z=-14 \\ z=-1 \\ y=-7\left(-1\right)-2=5\\ x=4-5+3\left(-1\right)=-4$$
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