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Math Help - Simultenous Equations

  1. #1
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    Post Simultenous Equations

    How to solve x+\sqrt{y}=4 and   y+\sqrt{x}=3 Thanks in advance. x=? y=?
    Last edited by mr fantastic; March 10th 2009 at 12:31 AM. Reason: Fixed latex
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  2. #2
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    Quote Originally Posted by JohnDoe View Post
    How to solve x+\sqrt{y}=4 and   y+\sqrt{x}=3 Thanks in advance. x=? y=?
    rearranging:

    \sqrt{y} = 4-x so y = (4-x)^2 = 16-8x+x^2

    \sqrt{x} = 3-y so x = (3-y)^2 = 9-6y+y^2

    Sub in (4-x)^2 for y:

    x = (3-16+8x-x^2)^2

    solve for x and the put the value(s) of x into one of the original equations to find y
    Last edited by mr fantastic; March 10th 2009 at 12:30 AM. Reason: Fixed latex
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  3. #3
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    xsoy I did not get the meaning. Can you explain?

    Thanks for reply but I can not figure out how to do it can anyone provide me the exact solution. Also I am not experienced with MathType so I had to edit the post a few times the correct one would be x+\sqrt{y}=4 and  y+\sqrt{x}=3.

    There must be a trick in solving this problem because it is an examination question and we are not supposed to use calculators while solving with the method you suggest I think it is impossible to get an accurate solution without a calculator.
    Last edited by mr fantastic; March 10th 2009 at 12:32 AM. Reason: Merged posts, edited latex
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