algebra

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systems of nonlinear equations
i need to help i have tried this problem but i cannot find the right answer i need to determine the real solutions for this:

x^2+4xy=10
4x^2-xy=6

  • algebra -

    multipy the bottom equation by 4
    x^2+4xy=10
    16x^2-4xy=24

    add the equations

    17x^2=34
    solve for x, you get +-sqrt2

    put each of those values into the first equation, and solve for y.
    I will do the -sqrt2=x for you.

    2-y4sqrt2=10
    4ysqrt2=-8
    y=-2/sqrt2= -sqrt2

    now do the solution of y for x=+sqrt2

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