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Math Help - Help with solving an equation?

  1. #1
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    Help with solving an equation?

    Hi I am new on this forum and I am very glad to find it
    I could start off by telling you that i am from Sweden so my "math-language" may not be the best in English. I am also still just in first grade of High School so this is not too advanced I hope.
    The thing is that i am repeating for a test that I am going to have tomorrow and I got stuck on a equation and I hoped that you maybe could help me out with the solution?
    Here it is:

    1/6+1/3x=1/2x

    My guess is that you need to get rid of the Denominators (?) fist and then solve the equation like normal, but when I do that I only get:

    6x^2+12x=18x

    and that is not solvable right?
    I got the answer and it is supposed to be 1?
    I need help with the way to solve it though...

    Fast answers are very much appreciated, thanks!

    Greetings Rickard Liljeros
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Rickard,

    Your guess was correct, but the equation you came up with wasn't...

    \frac{1}{6}+\frac{1}{3x}=\frac{1}{2x}

    LCD is 6x, multiply each term by 6x

    \frac{6x}{6}+\frac{6x}{3x}=\frac{6x}{2x}

    x+2=3

    x=1
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  3. #3
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    Quote Originally Posted by colby2152 View Post
    Rickard,

    Your guess was correct, but the equation you came up with wasn't...

    \frac{1}{6}+\frac{1}{3x}=\frac{1}{2x}

    LCD is 6x, multiply each term by 6x

    \frac{6x}{6}+\frac{6x}{3x}=\frac{6x}{2x}

    x+2=3

    x=1
    Thank you very much! this will help me alot on my test
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