SOLUTION: A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. How long is each piece?

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Question 762686: A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. How long is each piece?
Answer by Stitch(470) About Me  (Show Source):
You can put this solution on YOUR website!
Equation 1: A+%2B+B+=+12
Equation 2: A+=+2B+-+3
Plug (2B - 3) into equation 1 for A.
Equation 1: A+%2B+B+=+12
%282B+-+3%29+%2B+B+=+12
Combine like terms.
3B+-+3+=+12
Add 3 to both sides.
3B+=+15
Divide both sides by 3.
highlight%28B+=+5%29
Now plug 5 into equation 2 for B.
Equation 2: A+=+2B+-+3
A+=+2%2A%285%29+-+3
A+=+10+-+3
highlight_green%28A+=+7%29