SOLUTION: A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft less than the length of the longer piece. Find the length of each piece. shorter piece ?

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Question 357137: A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft less than the length of the longer piece. Find the length of each piece.
shorter piece ? ft
longer piece ? ft
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
X+Y=14 OR X=14-Y
2X=Y-5
2(14-Y)=Y-5
28-2Y=Y-5
-2Y-Y=-5-28
-3Y=-33
Y=-33/-3
Y=11 FT. IS THE LONGER PIECE.
14-11=3 FT. IS THE SHORTER PIECE.
PROOF;
2*3=11-5
6=6