so dear community, here is my second question.
assume we have a system, where
$A_1 x + B_1 y = C_1 $
$A_2 x^2 + B_2 y^2 = C_2 $
$A_3 x^3 + B_3 y^3 = C_3 $
etc.
can this system be solved?
if yes, i would appreciate some guidance.
so dear community, here is my second question. assume we have a system, where $A_1 x + B_1 y = C_1 $ $A_2 x^2 + B_2 y^2 = C_2 $ $A_3 x^3 + B_3 y^3 = C_3 $ etc. can this system be solved? if yes, i would appreciate some guidance. 

closed as too localized by Bill Johnson, Andy Putman, Felipe Voloch, Zev Chonoles, Andres Caicedo Dec 4 '11 at 17:52This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, visit the help center. If this question can be reworded to fit the rules in the help center, please edit the question. 


The first two equations determine your $x, y$ up to finite indeterminacy, so your system is generally overdetermined. To solve the first two equations, the quadratic formula works well. 

