Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 2 - Section 2.3 - Further Solving Linear Equations - Exercise Set: 84

Answer

a. x + (2x + 1) + (3x - 2) = 35 b. x = 6 c. 6 meters, 13 meters, 16 meters

Work Step by Step

a. The equation for the perimeter is written as the sum of all of its sides equals35: x + (2x + 1) + (3x - 2) = 35 b. Solve the equation for x: x + (2x + 1) + (3x - 2) = 35 6x - 1 = 35 6x = 36 x = 6 c. If x = 6, then one side has a length of 6 meters, another of 2(6) + 1 = 13 meters, and the other of 3(6) - 2 = 16 meters.
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