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: 41

Answer

$c=5 $

Work Step by Step

We need to get the c alone. Thus, we cancel out the subtraction by adding 2 on both sides. This leaves us with the equation 2 1/2=1/2c. In this equation, c 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 2/1 to obtain that c=5. We plug 5 in for c and confirm that our answer is, indeed, correct.
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