Addition & Subtraction Method

Discussion in 'Other Pre-University Math' started by nycmathguy, Nov 15, 2021.

  1. nycmathguy

    nycmathguy

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    David Cohen

    20211115_172404.jpg
     
    nycmathguy, Nov 15, 2021
    #1
  2. nycmathguy

    MathLover1

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    [​IMG].......eq.1
    [​IMG].........eq.2
    ----------------------------------------------------------------
    start with
    [​IMG] ........isolate x
    [​IMG]...........divide by sqrt(6)
    [​IMG]
    [​IMG]..........simplify

    [​IMG]...........eq.1a


    go to
    [​IMG]........eq.2, isolate x

    [​IMG]............ .....divide by sqrt(2)

    [​IMG]

    [​IMG].........eq.2a

    from eq.1a and eq.2a we have


    [​IMG] .......multiply by 2

    [​IMG]....isolate y

    [​IMG]......simplify

    [​IMG]

    [​IMG]

    [​IMG]

    to be continued
     
    MathLover1, Nov 16, 2021
    #2
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  3. nycmathguy

    MathLover1

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    go to
    [​IMG]..........eq.1a, substitute y


    [​IMG]........simplify

    [​IMG]

    [​IMG]

    so, your solutions are:

    [​IMG]
    [​IMG]
     
    MathLover1, Nov 16, 2021
    #3
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  4. nycmathguy

    nycmathguy

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    What can I say? Thank you so much. David Cohen questions are challenging.
     
    nycmathguy, Nov 16, 2021
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