SOLUTION: A 17-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the length of the shorter piece. Find the lengths of the pieces.

Question 901067: A 17-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the length of the shorter piece. Find the lengths of the pieces.
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
A + B = 17
A = 2B + 2
Substitute the known value of A from the bottom equation into the top.
A + B = 17
(2B+2) + B = 17
3B + 2 = 17
Subtract 2 from each side
3B = 15
Divide each side by 3
B = 5
If the shorter piece is 5', then the longer piece is 17-5, or 12'

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