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A 13-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. Find the lengths of both pieces.

A 13-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. Find the lengths of both pieces.
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1 vote
A 13-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. Find the lengths of both pieces.

User Catchdave
by
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1 Answer

2 votes
13 = x + (2 + 2x)
13 = 3x + 2
11 = 3x
3.7~ = x
The longer piece (y) = 2 + 2x
y = 2 + 2(3.7~)
y = 2 + 7.4~
y = 9.4~, x = 3.7~
User Yoruba
by
7.5k points
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