Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Exercise Set - Page 917: 8

Answer

$x=12,y=2\text{ and }z=3$.

Work Step by Step

Two matrices are equal if the corresponding elements of the given matrix are equal. That is, $\begin{align} & x=12 \\ & y+3=5 \\ \end{align}$ And, $2z=6$ Now $y+3=5$ implies that $y=5-3=2$ and $2z=6$ implies that $z=3$. Hence, $x=12,y=2\text{ and }z=3$.
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