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Math Help - Simultaneous Equations

  1. #1
    Senior Member Mukilab's Avatar
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    Simultaneous Equations

    Just a simultaneous equation I've found and need help on.

    x^2 + y^2 = 5
    y = 3x + 1

    Thanks in advance.
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  2. #2
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    skeeter's Avatar
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    Quote Originally Posted by Mukilab View Post
    Just a simultaneous equation I've found and need help on.

    x^2 + y^2 = 5
    y = 3x + 1

    Thanks in advance.
    substitute for y and solve ...

    x^2 + (3x+1)^2 = 5

    you'll get two solutions where the line intersects the circle.
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  3. #3
    Senior Member Mukilab's Avatar
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    did that and got a 9x^2 before....


    Confused how to get the final product. That's kind of what I was asking for?
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  4. #4
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    Quote Originally Posted by Mukilab View Post
    did that and got a 9x^2 before....


    Confused how to get the final product. That's kind of what I was asking for?
    x^2 + (3x+1)^2 = 5

    x^2 + 9x^2 + 6x + 1 = 5

    10x^2 + 6x - 4 = 0

    5x^2 + 3x - 2 = 0

    factor and solve.
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  5. #5
    Senior Member Mukilab's Avatar
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    thank you
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