A 19-foot piece of string is cut into two pieces so that the longer piece is 4 feet longer than twice the shorter piece. If the shorter piece is x feet long find the lengths of both peices

Here,

let the longer piece be y and shorter piece be x

now,

according to the question,

x+y=19 ... equation (1)

y=4+2x ... equation (2)

from equation 1

x+y=19

x+4+2x=19 substituting the value of y from equation 2

3x=19-4

x = (19-4) / 3

x=5

now

substituting value of x in equation (2)

y=4+2 (5)

y=4+10

y=14

so, the longer piece is 14 foot and the shorter piece is 5 foot