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Math Help - X and Y help!

  1. #1
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    X and Y help!

    X is not equal to Y

    (x/y)+x = (y/x)+y

    What is the value of (1/x) + (1/y)
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  2. #2
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    Quote Originally Posted by Slipknotfanatic89
    X is not equal to Y

    (x/y)+x = (y/x)+y

    What is the value of (1/x) + (1/y)
    And x,y\not = 0
    Thus,
    \frac{x}{y}+x=\frac{y}{x}+y
    Thus,
    \frac{x}{y}-\frac{y}{x}=y-x
    Thus,
    \frac{x^2-y^2}{xy}=y-x
    Thus,
    \frac{(x+y)(x-y)}{xy}=y-x
    Thus, since y-x\not =0
    \frac{x+y}{xy}=-1
    Thus, (express fraction as),
    \frac{1}{x}+\frac{1}{y}=-1
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  3. #3
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    Quote Originally Posted by ThePerfectHacker
    Thus, since y-x\not =0
    \frac{x+y}{xy}=-1
    Thus, (express fraction as),
    \frac{1}{x}+\frac{1}{y}=-1
    I don't quite understand where you got -1 from. Also, how did you simplify the fraction in the last step?
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  4. #4
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    Quote Originally Posted by c_323_h
    I don't quite understand where you got -1 from. Also, how did you simplify the fraction in the last step?
    Because I divided both sides by x-y
    But, \frac{y-x}{x-y}=-1
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