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Math Help - Solving a nonlinear system

  1. #1
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    Solving a nonlinear system

    x^2+y^2=25
    x+y=5

    I can't figure out how to do this problem. It looks fairly simple, but I keep getting answers that don't make sense.
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    Re: Solving a nonlinear system

    x=5-y so (5-y)^2+y^2=25
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    Re: Solving a nonlinear system

    That's what i got, but it's a multiple choice question and the options are A. (0,5) and (5,0) B.(5,-5) and (-5,-5) C.(0,-5) and (-5,0) and D.(0,0) and (5,-5)
    If you continue 25-y^2+y^2=25
    25=25? does that mean x and y are 0?
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    Re: Solving a nonlinear system

    (5-y)^2+y^2=25

    25-10y+y^2+y^2=25

    -10y+2y^2=0

    Finish it.
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  5. #5
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    Re: Solving a nonlinear system

    Quote Originally Posted by hubbabubba590 View Post
    That's what i got, but it's a multiple choice question and the options are A. (0,5) and (5,0) B.(5,-5) and (-5,-5) C.(0,-5) and (-5,0) and D.(0,0) and (5,-5)
    If you continue 25-y^2+y^2=25
    25=25? does that mean x and y are 0?
    If it's a multiple choice question, you could just substitute each of the possibilities into your system and see which one satisfies the equations...
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