SOLUTION: a 15-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of bo

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Question 823474: a 15-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces
Answer by faceoff57(108) About Me  (Show Source):
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a 15-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces
L = 3 + 2x
S = x
X + (3 + 2x) = 15
X + 3 + 2x = 15
3x + 3 = 15
3x = 15 - 3
3x = 12
X = 4
3 + 2x =
3 + 2(4) =
3 + 8 = 11
Short piece is 4 feet
Long piece is 11 feet