Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.4 - The Algebra of Matrices - 10.4 Exercises - Page 721: 43

Answer

$x=2,y=-1$

Work Step by Step

Similar to adding and subtracting, the matrices given each have a corresponding term. The top left with the top left, the top right with the top right, and so on. $x$ corresponds to $2$, therefore, $x$ equals $2$. And $2y$ corresponds with $-2$. Dividing by $2$, will give us the value of $-1$ for $y$. To check, plug these values into the bottom terms. $4=2(2)$ $4=4$ $6=-6(-1)$ $6=6$
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