Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.3 - Applications of Linear Equations - 1.3 Exercises - Page 74: 16

Answer

$x+(-4)=18$ OR $x-4=18$ $x = 22$

Work Step by Step

We will use x as the unknown number. First we must write an equation representing the verbal sentence. To write "the sum of a number and -4 is 18" as an equation, we need to add -4 to the number, x, and set it equal to 18. Therefore, the equation is: $x+(-4)=18$. When we add a negative, it is the same as subtraction. Therefore, the equation can be written as: $x-4=18$ To solve, we need to add 4 to both sides: $x-4 +4=18+4$ resulting in the answer: $x = 22$.
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