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Agebra

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A 12ft. board is cut into two pieces so that one piece is 8 ft. longer than 3 times the shorter piece. If the shorter piece is x feet long, find the lengths of both pieces

  • Agebra - ,

    x feet = short piece.
    12-x = long piece.
    3x+8 = 12-x
    Solve for x.

  • Agebra - ,

    x + (8 + 3x) = 12

    4x + 8 = 12
    4x + 8 - 8 = 12 - 8
    4x = 4
    x = 1

    One piece is 1 foot long
    The other piece is 11 feet long

    Does that make sense?

    (3 * 1) + 8 = 11

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