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Homework Help: Solve the equation

  1. Mar 2, 2010 #1
    Have I solved this equation correctly? I don't think I have as I can't imagine the value of x being a recurring number.

    4x - 1/3 - 2x + 7/6 = 5/2

    I have worked it out as follows:

    6(4x - 1) -3 (2x + 7) = 30/2
    (here i have multiplied the right side by 6 as this is the LCM of 6 + 3.

    24x - 6 - 6x - 21 = 15
    18x - 27 = 15
    18x = 42
    x = 2.3333r
     
  2. jcsd
  3. Mar 2, 2010 #2

    Mark44

    Staff: Mentor

    From the work you show later, your original equation is not written correctly. Apparently this is what you have.
    [tex]\frac{4x - 1}{3} - \frac{2x + 7}{3} = \frac{5}{2}[/tex]

    The way anyone who is at least halfway knowledgeable in mathematics would interpret your equation is this:
    [tex]4x - \frac{1}{3} - 2x + \frac{7}{6} = \frac{5}{2}[/tex]

    If the first equation is what you meant and you don't know how to write it using LaTeX, use parentheses, like so:
    (4x - 1)/3 - (2x + 7)/6 = 5/2
     
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