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Math Help - Find point of intersection between two straight lines

  1. #1
    Junior Member
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    Find point of intersection between two straight lines

    That's the instruction I have. Sorry for my bad English.

    mx - 4y = m

    -4x + my = 2m + 4

    I Thought I should get both of the equations to y = ... , So:

    y = \dfrac{mx-m}{4}

    y = 2 + \dfrac{4+4x}{m}

    And then:

    \dfrac{mx-m}{4} = 2 + \dfrac{4+4x}{m}

    m(mx-m) = 8m +4(4+4x)

    m^{2}x - m^{2} -8m-16-16x = 0

    And now I don't know how to continue...
    Last edited by klik11; October 1st 2010 at 05:20 PM.
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  2. #2
    A Plied Mathematician
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    You've done very good, correct work so far! Now it's a good time to remember what it is for which you are trying to solve. What is that?
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  3. #3
    MHF Contributor

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    "Combine like terms". That is, combine all terms involving "x" on one side of the equation, all terms that do not on the other.
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