SOLUTION: a 100-foot cable is cut into two pieces. the first piece is 18 ft longer than the second. how long is each piece?

Algebra.Com
Question 225198: a 100-foot cable is cut into two pieces. the first piece is 18 ft longer than the second. how long is each piece?
Answer by LtAurora(115)   (Show Source): You can put this solution on YOUR website!
From the given information:


Plug the second equation into the first one:

Combine like terms:

Move the 18 to the other side:

Divide both sides by 2:

To get the other length, plug A back into the second equation:


So the lengths of the rope are 41 and 59.
RELATED QUESTIONS

Can you help me answer this question ... A 100-foot cable is cut into two pieces. The (answered by ewatrrr)
an 100-foot cable is cut into two pieces.the first piece is 18 feet longer than the... (answered by swiemers)
A 90 meter cable needs to be cut into three pieces. The second piece and third piece each (answered by Alan3354)
A 57-foot wire is cut into three pieces. The second piece if 7 feet longer than the first (answered by Boreal,stanbon)
A 9-foot board is cut into three pieces. The second piece is twice as long as the first... (answered by jorel1380)
A twelve foot board is cut into two pieces. One piece is two feet longer than the other... (answered by josmiceli)
an 18 ft pipe is to be cut into 3 pieces such that the second piece is 1 foot longer than (answered by jessica43)
A 64 inch board is cut into three pieces. The second piece is 3 in. longer than the first (answered by solver91311,KnightOwlTutor,jojo14344)
A 14-foot board is cut into two pieces. Twice the length of the shorter piece is 5 ft... (answered by checkley77)