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Math Help - Need a little help.

  1. #1
    kn6
    kn6 is offline
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    Need a little help.

    I need help with the below problems. I don't understand how to find the common denominator when there is a variable as a denominator.

    How do I work this on paper?

    1/2 + 2/x = 3/4


    Another problem I need help with is the below. I was able to figure out the answer, which is 29/10 but if I plug that into x to check the problem I have no clue how to work that.

    x+1 over 3 + x+2 over 7 = 2


    Thanks for your time,
    KN
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  2. #2
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    1/2 + 2/x = 3/4
    (x+4)/(2x) = 3/4
    4x + 16 = 6x
    2x = 16
    x = 8
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  3. #3
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    \frac{x+1}{3}+\frac{x+2}{7} = 2 multiply by 3 and 7

    7(x+1) + 3(x+2) = 3(7)(2)

     7x + 7 + 3x + 6 = 42

    10x = 42 - 13

    x = \frac{29}{10}
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