Question 612035
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Use the elimination method, just like with linear equations.


Multiply your first equation by -2


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8x^2\ -\ 6y^2\ =\ -24]


Add the second equation to it


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8x^2\ +\ 5x^2\ -\ 6y^2\ +\ 6y^2\ =\ -24\ +\ 30]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -3x^2\ =\ 6]


Which you should be able to see has no real solution.  This should make sense to you because you can see that each is the equation of an ellipse, each being centered at the origin, but the second one has both major and minor axes that are larger than the first one.  Ergo, they do not intersect and the system is inconsistent.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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