In article
<eb6f8008-fab1-49bc-9ec4-c713886cd5b7@[EMAIL PROTECTED]
>,
Citizen <FlammesSombres@[EMAIL PROTECTED]
> wrote:
> Why is it impossible for a system of equations to have exactly 2
> solutions?
>
> Thank you very much for your help!
Its not for general equations, but is true for linear equations.
For an example with non-linear equations, consider the intersection of
two circles.
For linear equations, any solution space must be an affine space of some
dimension.
Zero dimensional gives no points or exactly one point and but 1
dimensional is like a line or plane with infinitely many points, and
similarly for higher dimension.
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