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Math Help - Easy algebra question need help!!!

  1. #1
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    Exclamation Easy algebra question need help!!!

    PLease help !

    -(y/2 + 1/16)=3(y/16 - 1/12)
    PLease explain!! Answer=9/13

    1/6[1/2(1-2n)+1/3]=n/3
    Please explain! Answer=5/18

    How do u find the answer?
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  2. #2
    Member great_math's Avatar
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    Quote Originally Posted by econlover View Post
    PLease help !

    -(y/2 + 1/16)=3(y/16 - 1/12)
    PLease explain!! Answer=9/13

    1/6[1/2(1-2n)+1/3]=n/3
    Please explain! Answer=5/18

    How do u find the answer?

    I will do 2nd question, first one try yourself

    1/6[1/2(1-2n)+1/3]=n/3

    \Rightarrow \frac1{12}(1-2n)+\frac1{18}=\frac {n}{3}

    \Rightarrow \frac1{12}-\frac{n}{6}+\frac1{18}=\frac {n}{3}

    \Rightarrow \frac {n}{3}+\frac{n}{6}=\frac1{12}+\frac1{18}

    \Rightarrow \frac{3n}{6}=\frac{5}{36}

    \Rightarrow n=\frac{5}{18}
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  3. #3
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    Hello, econlover!

    I don't agree with their answer . . .


    -\left(\frac{y}{2} + \frac{1}{16}\right) \;=\;3\left(\frac{y}{16} - \frac{1}{12}\right)

    Answer: . \frac{9}{13} . ??

    We have: . -\frac{y}{2} - \frac{1}{16} \;=\;\frac{3y}{16} - \frac{1}{4}


    Muliply by 16: . -8y - 1 \;=\;3y - 4

    Therefore: . -11y \;=\;-3 \quad\Rightarrow\quad y \;=\;\frac{3}{11}

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  4. #4
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    no wonder i could not find the answer! Thanks a lot Soroban!
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