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Math Help - Non Linear Equations!

  1. #1
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    Non Linear Equations!

    Please answer or give advice on the following...

    Solve the non-linear system of equations for real solutions

    1. x^2 + 3y^2 = 3

    x+y = 8

    2. y = 4x^2 +5

    x+y = -8

    3. y = x^2 + 2

    y = -x^2 + 4


    Please! Thank you so much!
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  2. #2
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    Quote Originally Posted by Croyt View Post
    Please answer or give advice on the following...

    Solve the non-linear system of equations for real solutions

    1. x^2 + 3y^2 = 3

    x+y = 8

    2. y = 4x^2 +5

    x+y = -8

    3. y = x^2 + 2

    y = -x^2 + 4


    Please! Thank you so much!
    For the first two use the second (linear) equation to solve for, say, y in terms of x. Then plug that into the non-linear equation and solve for x.

    In the case of the last one the system is already in a nice form for you. The two y's are equal to each other, so
    x^2 + 2 = -x^2 + 4
    Solve for x.

    -Dan
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