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Math Help - help with problem

  1. #1
    Newbie
    Joined
    Jun 2005
    Posts
    14

    help with problem

    1/3x+3/4y=4

    please show how to solve it. i can't get it!
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  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Solve it how?
    Solve for what?

    Let me make a guess.
    Since this is in Geometry, you want to know what is the graph of that thing, that equation.

    Okay, let me work it on that guess.

    1/3x+3/4y=4

    I bet that is
    (1/3)x +(3/4)y = 4.

    First we clear the fractions,
    Multiply both sides of the equation by the product of the denominators of the two fractions, which are 3 and 4,
    Multiply both sides by 3*4,
    4*1*x +3*3*y = 4*3*4
    4x +9y = 48 -----(i)

    (It is a straight line.)

    Convert that Eq.(i) into y = mx +b,
    9y = -4x +48
    y = -(4/9)x +48/9
    y = -(4/9)x +16/3 ----(ii)

    So,
    It is a straight line whose slope is -4/9, and whose y-intercept is 16/3.

    ---------
    It is only my guess, remember.
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