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Math Help - Confused about nonlinear system of equations

  1. #1
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    Confused about nonlinear system of equations

    How do I go about solving the following nonlinear system of equations?

    y = x - 2
    x^2 = y^2 + 16

    thanks!
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  2. #2
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    Quote Originally Posted by Hapa View Post
    How do I go about solving the following nonlinear system of equations?

    y = x - 2
    x^2 = y^2 + 16

    thanks!
    Substitute y = x - 2 into x^2 = y^2 + 16 and re-arrange into a quadratic equation. Solve for x. Then use x to get y.
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  3. #3
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    still stumped

    I did attempt to substitute x - 2 for y, upon doing that i get

    x^2 = (x - 2)^2 + 16
    x^2 = x^2 - 4x + 4 + 16

    from here, don't the x^2 cancel out? not sure how to derive a quadratic equation from this.
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  4. #4
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    Quote Originally Posted by Hapa View Post
    I did attempt to substitute x - 2 for y, upon doing that i get

    x^2 = (x - 2)^2 + 16
    x^2 = x^2 - 4x + 4 + 16

    from here, don't the x^2 cancel out? not sure how to derive a quadratic equation from this.
    Well, just solve the equation you end up with. In this case it's actually a linear.
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