Introductory Algebra for College Students (7th Edition)

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

Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set: 18

Answer

$x=10$

Work Step by Step

Let x = the unknown number Then "five more than 4 times a number" means $5+4x$ "number increased by 35" means $x+35$ Thus, the equation that represents the situation is: $5+4x=x+35$ Use the addition property of equality to subtract x from both sides of the equation. $5+4x-x=x+35-x$ $5+3x=35$ Use the addition property of equality to subtract 5 from both sides of the equation. $5+3x-5=35-5$ $3x=30$ Use the multiplication property of equality to divide both sides of the equation by 3. $3x\div3=30\div3$ $x=10$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.