College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Matrices and Determinants - Concept and Vocabulary Check - Page 608: 2

Answer

one solution

Work Step by Step

Say that the unknowns were x, y, and z. The third row represents the equation $z=5.$ Back-substituting into the second row, we find a unique $y$. $y+2(5)=13$ $y=3$ Back-substituting into the first row, we find a unique $x.$ $x+(3)+2(5)=19$ $x=6$ Solution set: $\{(6,3,5)\}$ The system has one solution.
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