Introductory Algebra for College Students (7th Edition)

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

Chapter 8 - Cumulative Review Exercises - Page 621: 24


The number is $43$.

Work Step by Step

First, we want to translate this word problem into an algebraic equation that we can solve. Let's look at the different pieces of the statement: "Seven subtracted from" means to subtract $7$ from another number. "Five times a number" means to multiply $5$ by an unknown number $x$. "Is $208$" means "$= 208$." Now we can put these parts together to form an algebraic equation: $$5x - 7 = 208$$ To solve this equation, we add $7$ to each side to isolate the variable on one side of the equation and the constants on the other: $$5x = 215$$ Now we divide by $5$ on each side of the equation to solve for $x$: $$x = 43$$
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