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Math Help - Nonlinear Systems of Equations

  1. #1
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    Lightbulb Nonlinear Systems of Equations

    Test Tommorow - Just can't seem to get the hang of it...

    1) y+x^2=4x
    y+4x=16

    2) x^2y=16
    y^2-x^2+16=0

    3) x-2y=2
    y^2-x^2=2x+4

    Any help is greatly appreciated..thanks
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  2. #2
    Moo
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    Hello,

    For 1), isolate y in the second equation and plug it in the first equation.

    For 2), isolate y in the first equation, then plug it in the second and solve for X=x like any quadratic equation

    For 3), isolate x in the first and plug in the second.
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  3. #3
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    Quote Originally Posted by Ballplaya4237 View Post
    Test Tommorow - Just can't seem to get the hang of it...

    1) y+x^2=4x
    y+4x=16

    2) x^2y=16
    y^2-x^2+16=0

    3) x-2y=2
    y^2-x^2=2x+4

    Any help is greatly appreciated..thanks
    For each of these, pick one of the equations and solve for one unknown. Then plug that into the other equation.

    For example, the first one I would solve the bottom equation for y:
    y = -4x + 16
    and put that into the top equation:
    (-4x + 16) + x^2 = 4x

    Solve this for x and use that to solve for y.

    -Dan
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  4. #4
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    Okay, I managed to solve both numbers 1 and 3...

    But, 2 still eludes me...


    I messed up copying the first time - Here's the correct number 2 equation

    2) x^2y=16
    x^2+4y+16=0
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  5. #5
    Moo
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    This is the same princip : isolate y in the first equation and plug it in the second

    Multiply the final equation by x, then substitute u=t and solve it as a quadratic equation
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