A14-foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. if the shorter piece is x feet long, find the lengths of both pieces.

X = shorter piece
y = longer piece

x + y = 14
y = 2x + 2

x + (2x + 2) = 14
3x + 2 = 14
3x = 14 - 2
3x = 12
x = 12/3
x = 4shorter piece (x) is 4 ft

y = 2x + 2
y = 2(4) + 2
y = 8 + 2
y = 10...longer piece (y) is 10 ft