Problema Solution

whenMichael was cleaning out his garage, he found two pieces of rope such once piece was 5 feet less than 3 times the other piece. Together they measured 51 feet. What is the length of each piece or rope

Answer provided by our tutors

let 'x' and 'y' are the lengths of each piece of rope


once piece was 5 feet less than 3 times the other piece


x = 3y - 5


together they measured 51 feet


x + y = 51


by solving the system of equations


x = 3y - 5

x + y = 51


we find


x = 37 ft


y = 14 ft


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the lengths are 37 feet and 14 feet.