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Math Help - algebra

  1. #1
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    algebra

    equation

    6=a/7

    w/12=2
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dianna View Post
    equation

    6=a/7

    w/12=2
    If two things are equal, they are also equal after multiplying both by
    the same thing.

    so if:

    6=a/7,

    then:

    6 x 7 = (a/7) x 7,

    but (a/7)x7=a, so:

    6x7=a,

    or:

    a=42.


    The same thing works with the second:

    w/12=2

    12x(w/12)=12x2,

    so:

    w=24.

    RonL
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  3. #3
    MHF Contributor
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    Quote Originally Posted by dianna View Post
    equation

    6=a/7

    w/12=2
    Hi, diana, li'l girl!

    Here is one way. The "isolate" way.

    So, to find the unknown, isolate it in one side of the equation. By itself, alone, no attachments.

    6 = a/7

    See that the unknown "a" has a 7 as its denominator. To isolate the "a", remove that denominator 7 from "a".
    a/7 means "a divided by 7", so to clear or eliminate or remove 7 from "a", you multiply both sides of the equation by 7. Thus,
    6*7 = a/7 *7
    42 = a
    or.
    a = 42 ---------------answer.

    ----------------------------------
    w/12 = 2

    w has that 12 under it. That 12 divides w by 12. To clear w of that 12, multiply both sides by 12.

    w/12 times 12 = 2 times 12
    w = 24 ----------------------answer.

    -----------------------------------------
    If I confused you instead, sorry, diana.
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