Algebra: A Combined Approach (4th Edition)

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

Chapter 2 - Review: 92

Answer

Shorter piece: 4 inches, Longer piece: 19 inches

Work Step by Step

The length of the longer piece, which is three more than four times the shorter piece, is written as the expression 3 + 4x. If the sum of the shorter piece and the longer piece equals 23, then the equation is written: x + (3 + 4x) = 23 Solve for x: 5x + 3 = 23 5x = 20 x = 4 The shorter piece is x = 4 inches, and the longer piece is 3 + 4x = 3 + 4(4) = 19 inches.
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