Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-4 Solving Equations with Variables on Both Sides - Practice and Problem-Solving Exercises: 25

Answer

r = 18

Work Step by Step

2r - (5 - r) = 13 + 2r Use the distributive property: 2r - 5 + r = 13 + 2r Subtract 2r from both sides of the equation to keep the variable (r) on one side of the equation. 2r - 5 + r - 2r = 13 + 2r - 2r - 5 + r = 13 Add 5 to both sides of the equation. - 5 + r + 5 = 13 + 5 r = 18 Check: To check your answer, plug it into the original equation. In this case, replace r with 18 and solve. 2r - (5 - r) = 13 + 2r 2(18) - (5 - 18) = 13 + 2(18) 36 - 5 + 18 = 13 + 36 49 = 49
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