Problema Solution

An 82 foot rope is cut into two pieces. One piece is 2 more than three times thebother. How long is each piece?

Answer provided by our tutors

let 'x' and 'y' represent the lengths of each piece


An 82 foot rope is cut into two pieces:


x + y = 82


One piece is 2 more than three times the other:


x = 2 + 3y


by solving the system of equations


x + y = 82

x = 2 + 3y


we find


x = 62 ft


y = 20 ft


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one piece is 62 feet long while the other is 20 feet long.