College Algebra (6th Edition)

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

Chapter 6 - Summary, Review, and Test - Review Exercises - Page 656: 13

Answer

$x=-5$ $y=6$ $z=6$

Work Step by Step

Two matrices are equal if they are of the same order and their corresponding elements are equal. Both matrices are of order $2\times 2.$ The elements at position (i,j)=(1,1) must be equal: $2x=-10$ $x=-5$ The elements at position (i,j)=($1,2$) must be equal: $y+7=13$ $y=6$ The elements at position (i,j)=($2,1$) must be equal: $z=6$ The elements at position (i,j)=($2,2$) are equal.
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