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: 11

Answer

$$z=2,\:y=-2,\:x=1$$

Work Step by Step

Solving the system of equations using substitution, we find: $$ 1+\frac{-4z+2}{3}+z+\frac{-4z+2}{3}+3z=5 \\ z=2 \\ y=\frac{-4\cdot \:2+2}{3}=-2 \\ x=1-2+2=1$$
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