Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.2 Applications and Modeling with Linear Equations - 1.2 Exercises: 8

Answer

Option $A$

Work Step by Step

With $x$=unknown number, then "seven times a number" = $7x$ "the difference between seven times a number and 9" = $7x-9$ while "the sum of a number and 2' = $x+2$ "five times the sum of a number and 2" = $5(x+2)$ Since "the difference between seven times a number and 9" is equal to "five times the sum of a number and 2" then, $7x-9=5(x+2)$ Therefore, the equation needed to solve the given problem is the one in Option $A$.
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