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Math Help - Solving systems by graphing

  1. #1
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    Solving systems by graphing

    xy-8y^2=63
    6x+10y=-3

    solve the system by finding the intersection points

    I graphed the equations on my calculator and got (-11,6) and (11,-7) but I feel like I didn't do it correctly... help?
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  2. #2
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    Re: Solving systems by graphing

    Quote Originally Posted by hubbabubba590 View Post
    xy-8y^2=63
    6x+10y=-3

    solve the system by finding the intersection points

    I graphed the equations on my calculator and got (-11,6) and (11,-7) but I feel like I didn't do it correctly... help?
    Do the points satisfy both functions? Substitute them in and find out. If they do, then they are solutions.
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  3. #3
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    Re: Solving systems by graphing

    They do not:/
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  4. #4
    Member sbhatnagar's Avatar
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    Re: Solving systems by graphing

    Quote Originally Posted by hubbabubba590 View Post
    They do not:/
    You are right. They do not satisfy the following set of equations:

    \begin{cases}xy-8y^2=63 \\ 6x+10y=-3\end{cases}

    Here's the correct graph:



    As you can see, there are no real solutions.
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