An electrician cuts a 30 ft piece of wire into two pieces. One piece is 2 ft
longer than the other. How long are the pieces?
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Answer:
x = one piece x + 6 = other piece {one piece is 6 ft longer than the other} x + x + 6 = 25 {the two pieces add up to the total 25 ft piece} 2x + 6 = 25 {combined like terms} 2x = 19 {subtracted 5 from each side} x = 9.5 ft {divided each side by 2} x + 6 = 15.5 ft {substituted 9.5, in for x, into x + 6} The two pieces are 9.5 ft and 15.5 ft
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