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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

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

    Hi
    I am trying to solve the following puzzle.
    I am struggling with this puzzle along with my kid, who's in algebra class. The conditions are:
    1. (X.6)(y.4) = 288
    2. X^2-y^2 = -5
    3. X.7-3.x = 19
    4. (Y-x)/(x-y)= -1
    ​​​​​​​x and y has to be the same numbers throughout the 4 given conditions.

    Thank you

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    You'll have to explain what "x.6" means. Is it an exponent? x^6 or [tex]x^{6}[/tex]?
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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    Quote Originally Posted by Ramyana View Post
    Hi
    I am trying to solve the following puzzle.
    I am struggling with this puzzle along with my kid, who's in algebra class. The conditions are:
    1. (X.6)(y.4) = 288
    2. X^2-y^2 = -5
    3. X.7-3.x = 19
    4. (Y-x)/(x-y)= -1
    ​​​​​​​x and y has to be the same numbers throughout the 4 given conditions.

    Thank you
    Are x & X referring to the same number?

    Are y & Y referring to the same number?
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

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    Quote Originally Posted by tkhunny View Post
    You'll have to explain what "x.6" means. Is it an exponent? x^6 or [tex]x^{6}[/tex]?
    X multiplied with 6.

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    Quote Originally Posted by Subhotosh Khan View Post
    Are x & X referring to the same number?

    Are y & Y referring to the same number?
    Yes, X and x refers to the same number. Sorry I forgot to uncapitalize it, it was getting late in the night.

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    Thank you for clarifying, but your next step is to show us your work.
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

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    Quote Originally Posted by tkhunny View Post
    Thank you for clarifying, but your next step is to show us your work.
    I got 19/4 for x and 21/4 for y, using the second and third equation which works perfectly well for all the equations except for equation #1. If I solve for y using equation #1, then it doesn't fit the second equation.

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    IMG_1207.JPG

    This is is the actual problem

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    Quote Originally Posted by Ramyana View Post
    IMG_1207.JPG

    This is is the actual problem
    These equations are inconsistent - there is no solution to those in the domain of numbers.
    “... mathematics is only the art of saying the same thing in different words” - B. Russell

  10. #10
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    That's what I thought too. But the teacher insists that there is a solution.

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