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: 44

Answer

$x=2, y=-3$

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. The scalar of $3$ on the outside must be distributed to each term within the matrix. After distributing to each $x$ and $y$ and pairing each to the corresponding part, it's clear that we have two of each: $3x=6$ $x=2$ $3y=-9$ $y=-3$ This $x$ value and $y$ value are your solutions.
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