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Thread: Math puzzle: (X.6)(y.4) = 288, X^2-y^2 = -5, X.7-3.x = 19, (Y-x)/(x-y)= -1

  1. #11
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    Quote Originally Posted by Subhotosh Khan View Post
    These equations are inconsistent - there is no solution to those in the domain of numbers.
    IMG_1209.jpgIMG_1208.jpg

  2. #12
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    Quote Originally Posted by Denis View Post
    Equation#1 was manually changed to equal "288".
    Are you sure that's ok?
    Yes, that's what the teacher said(change it to 288).

  3. #13
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    It's not quite redundant. It adds [tex]\text{Tria}\text{ngle} \ne \text{Square}[/tex].
    Last edited by mmm4444bot; 09-17-2017 at 11:19 PM. Reason: Fixed LaTex issue
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

  4. #14
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    I figured out the solution by graphing, there is no solution to these set of equations.

  5. #15
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    Quote Originally Posted by Ramyana View Post
    1. 6x * 4y = 288

    2. x^2 - y^2 = 93457/5776

    3. 7x - 3x = 19

    4. (y - x) / (x - y) = -1
    Now, it has a solution.
    "English is the most ambiguous language in the world." ~ Yours Truly, 1969

  6. #16
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    Quote Originally Posted by Ramyana View Post
    1. 6x * 4y = 288

    2. x^2 - y^2 = 143

    3. 7x - 3x =
    48

    4. (y - x) / (x - y) = -1
    This has a nicer solution.


    We can make as many solvable systems as we like, by changing the right-hand side of the second and third equations. Pick a number for x (not zero).

    x^2 - y^2 = (x^4 - 144)/x^2

    7x - 3x = 4x

    The solution will be:

    x = x (the number you picked)

    y = 12/x
    "English is the most ambiguous language in the world." ~ Yours Truly, 1969

  7. #17
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    Quote Originally Posted by mmm4444bot View Post
    This has a nicer solution.


    We can make as many solvable systems as we like, by changing the right-hand side of the second and third equations. Pick a number for x (not zero).

    x^2 - y^2 = (x^4 - 144)/x^2

    7x - 3x = 4x

    The solution will be:

    x = x (the number you picked)

    y = 12/x
    nice, but according to her, we are not allowed to change stuff.

  8. #18
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    Quote Originally Posted by Ramyana View Post
    we are not allowed to change [flawed materials].
    Okay -- she's the boss!

    In this case, the best your kid can do is say, "no solution", and turn in the work with graphs.
    "English is the most ambiguous language in the world." ~ Yours Truly, 1969

  9. #19
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    Quote Originally Posted by mmm4444bot View Post
    Okay -- she's the boss!

    In this case, the best your kid can do is say, "no solution", and turn in the work with graphs.
    That's what I did. It's due tomorrow. Thank you very much for all your help.

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