Algebra 1: Common Core (15th Edition)

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

Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises: 56

Answer

The only possible solutions for this equation are: 0, 1, and 2

Work Step by Step

Step 1) Consecutive integers can be represented by (N), (N+1), and (N+2). We set up our equation exactly as the problem describes with the 3rd integer (N+2) being 2x the sum of the 1st and 2nd integers (N and N +1). Step 2) Using PEMDAS, do what is in parenthesis first. Step 3) Using distributive property, multiply 2 through the right side. Step 4) Combine like terms by subtracting 1N from each side and subtracting 2 from each side. Step 5) Solve for N by dividing each side by 3. Now that we have N, we can plug into our integer setup (see step 1) in order to solve for all three integers.
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