SOLUTION: A 57-foot long piece of rope is cut into two pieces so that one piece is three feet shorter than four times the other piece. Find the length of each piece.

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The 57-ft rope is cut into two pieces: x and y.
y is 3 ft shorter than 4x: y = 4x-3
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x + y = 57
.
substitute
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x + 4x-3 = 57
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5x = 60
.
x = 12
.
y = 4x-3
y = 4(12) -3
y = 48-3
y = 45
.
The two pieces are 12 and 45 ft in length.
.
Done.