SOLUTION: A 10 foot board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is X feet, find the lengths of both pieces.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A 10 foot board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is X feet, find the lengths of both pieces.      Log On


   

Question 360270: A 10 foot board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is X feet, find the lengths of both pieces.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
x+3x+2=10
4x=10-2
4x=8
x=8/4
x=2 ft. for the shorter piece./
3*2+2=6+2=8 ft. for the longer piece.
Proof:
8+2=10
10=10