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Math Help - Solve this equation PLEASE thanks

  1. #1
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    Solve this equation PLEASE thanks

    4/3x-2=-2
    i dont know how to put everything on one side. can someone please explain there answer thanks.
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  2. #2
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    Re: Solve this equation PLEASE thanks

    Add 2 to each side; what do you get?
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  3. #3
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    Re: Solve this equation PLEASE thanks

    Quote Originally Posted by roger1505 View Post
    4/3x-2=-2
    i dont know how to put everything on one side. can someone please explain there answer thanks.
    so, which equation did you mean?

    \frac{4}{3}x - 2 = -2

    \frac{4}{3x-2} = -2

    or something else entirely?
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    Re: Solve this equation PLEASE thanks

    the second one
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    Re: Solve this equation PLEASE thanks

    Note that \frac{4}{-2} = -2, and we're given \frac{4}{3x-2} = -2. Therefore it follows that 3x-2 = -2 \Rightarrow 3x = 0 \Rightarrow x = 0.


    Alternatively, you can multiply both sides by 3x-2.
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  6. #6
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    Re: Solve this equation PLEASE thanks

    This solution can also be solved with another method such as e.g :-
    x/4 - 3x/2 = -1/2
    4(x/4 - 3x/2) = 4(-1/2)
    x - 2(3x) = 2(-1)
    x - 6x = -2
    -5x = -2
    x = -2/-5
    x = 2/5 (0.4)
    Last edited by skeeter; June 18th 2012 at 04:07 AM.
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  7. #7
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    Re: Solve this equation PLEASE thanks

    Quote Originally Posted by kalwin View Post
    This solution can also be solved with another method such as e.g :-
    x/4 - 3x/2 = -1/2
    If you reciprocate both sides, you should get \frac{3x}{4} - \frac{1}{2} = -\frac{1}{2} and obtain x = 0.
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  8. #8
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    Re: Solve this equation PLEASE thanks

    Quote Originally Posted by richard1234 View Post
    Note that \frac{4}{-2} = -2, and we're given \frac{4}{3x-2} = -2. Therefore it follows that 3x-2 = -2
    Why does it follow?
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  9. #9
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    Re: Solve this equation PLEASE thanks

    @emakarov, \frac{4}{-2} = \frac{4}{3x-2}. Since f(x) = \frac{4}{x} is one-to-one (assuming x \neq 0), it follows that -2 = 3x-2 (by equating denominators).
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