Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 12: 81


a. $6$ b. $6$ is not a solution of the equation

Work Step by Step

$a.$ Replace x with 3 and y with 6: $6x-2y=$ $=6(3)-2(6)$ $=18-12$ $=6$ b. If the number $6$ is the solution to the equation, then replacing $w$ with $6$ should result in a valid equation (the left side should be equal to the right side of the equality sign) $7w=45-2w\quad?$ $7(6)=45-2(6)\quad?$ $42=45-12\quad?$ No, the equation is not valid, $6$ is not a solution of the equation.
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