Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-2 Solving Two-Step Equations - Practice and Problem-Solving Exercises - Page 92: 40


x=63 2/3

Work Step by Step

We need to get the x alone. Thus, we cancel out the subtraction by adding 9.1 on both sides. This leaves us with the equation $19.1=.3x$. This is the same as $19.1=3/10x$. In the equation $19.1=3/10x,$ x is being multiplied by a fraction, which we must cancel out. In order to cancel out a fraction being multiplied by a variable, we multiply both sides of the equation by the reciprocal of the fraction, which is the fraction flipped upside down. (For instance, the reciprocal of ⅖ is 5/2). Thus, we multiply both sides of the equation by 10/3 to obtain that x=63 2/3. We plug 63 2/3 in for x and confirm that our answer is, indeed, correct.
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.