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Math Help - Elimination method in non-linear equation

  1. #1
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    Elimination method in non-linear equation

    x^2 + y^2 = 25 and
    x^2 + 7y = 37
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by galanm View Post
    x^2 + y^2 = 25 and
    x^2 + 7y = 37
    multiply one of the equation with -1 and add it to the other one
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  3. #3
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    Quote Originally Posted by galanm View Post
    x^2 + y^2 = 25 and
    x^2 + 7y = 37
    Substitute x^2 = 37 - 7y from the second equation into the first equation and solve the quadratic equation for y.
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  4. #4
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    The instructions state to use the elimintation method.
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  5. #5
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by galanm View Post
    The instructions state to use the elimintation method.
    multiply the second one with -1 you will have

    -x^2-7y=-37

    find the sum of that and this


    x^2+y^2=25


    -x^2-7y+x^2+y^2=27-37

    y^2-7y+10=0

    (y-2)(y-5)=0

    y-2=0...y=2 , y-5=0...y=5

    sub these values of y in one of the equation x^2+7y=37 or x^2+y^2=25 you will have the values of x this is elimination you eliminate x ...
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