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 1.8 - Exponents and Order of Operations - Exercise Set - Page 102: 121

Answer

$20$ is indeed a solution of this equation.

Work Step by Step

Let's plug in $20$ for $y$ to see if the equation holds true. If it does, then $20$ is a solution of the equation: $$5(20) + 3 - 4(20) - 8 = 15$$ Let us do the multiplication first, according to order of operations: $$100 + 3 - 80 - 8 = 15$$ Add and subtract, from left to right. We add $100$ and $3$: $$103 - 80 - 8 = 15$$ Subtract $80$ from $103$: $$23 - 8 = -15$$ Subtract $8$ from $23$: $$15 = 15$$ Because the two sides of the equation equal one another, $20$ is indeed a solution of this equation.
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