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Math Help - Equations Question

  1. #1
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    Equations Question

    Hello All!

    I could really use some guidance in how to solve these two equations. They are probably really simple but I am having trouble finding examples similar to these in my textbook. I don't need the answers just some tips on how to go about solving these. Just looking at them puzzles me. I don't know how to start them. The first thing that pops into my head is to get rid of the fractions with a Common Den. but I am unsure if that is correct. Any tips on how to solve would be very appreciated! Thankyou!

    Rose

    #1)

    z
    _ = 2z + 35
    2


    #2)

    1 1 -2t
    __ - __ = ____
    t-2 2 4t-1


    This last problem is supposed to be one over t-2 minus one half equals negative 2t over 4t-1 .... hope that helps to understand it
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  2. #2
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    Quote Originally Posted by Yup318 View Post
    Hello All!

    I could really use some guidance in how to solve these two equations. They are probably really simple but I am having trouble finding examples similar to these in my textbook. I don't need the answers just some tips on how to go about solving these. Just looking at them puzzles me. I don't know how to start them. The first thing that pops into my head is to get rid of the fractions with a Common Den. but I am unsure if that is correct. Any tips on how to solve would be very appreciated! Thankyou!

    Rose

    #1)

    z
    _ = 2z + 35
    2


    #2)

    1 1 -2t
    __ - __ = ____
    t-2 2 4t-1


    This last problem is supposed to be one over t-2 minus one half equals negative 2t over 4t-1 .... hope that helps to understand it
    1. \frac{z}{2} = 2z + 35

    z = 4z + 70

    -3z = 70

    z = -\frac{70}{3}.


    2. \frac{1}{t-2} - \frac{1}{2} = -\frac{2t}{4t - 1}

    \frac{1}{t-2} + \frac{2t}{4t - 1} = \frac{1}{2}

    \frac{4t - 1}{(t-2)(4t - 1)} + \frac{2t(t - 2)}{(t-2)(4t-1)} = \frac{1}{2}

    2[4t - 1 + 2t(t-2)] = (t-2)(4t-1)

    2(4t - 1 + 2t^2 - 4t) = 4t^2 - t - 8t + 2

    4t^2 - 2 = 4t^2 - 9t + 2

    9t = 4

    t = \frac{4}{9}.
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  3. #3
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    thank you!!
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