In the problem that i am trying to solve i have 4 equations(2 linear and 2 polynomials of second degree) with 3 variables(assume it is a,b,g). I want to solve the two variables depending on the third e.g a=f(g),b=w(g). What i have tried until now is using the sympy.solve to find a solution but it only takes as argument only the 2 out of the 4 equations and if i try to use more of them as input it returns an empty list.Is there any software that i can take the result that i want( a=f(g) and b=w(g)) based on all 4 equations and not just the 2 of them?
EDIT:Added the equations
eq1:$(0.55+(b*(1-c)- a* c)* g+N*(\frac{-a}{2} * (1-c)^2+\frac{b}{2}*c^2))-0.8=0$
eq2:$0.55+(b* d-a*(1-d))*g+N *(\frac{b}{2}*(1-d)^2-\frac{a}{2}*d^2)-0.3=0$
eq3:
$g^2*[b^2*(1-c)+a^2*c-[b*(1-c)-a*c]^2]+N^2*[\frac{a^2}{4}*(1-c)^2+\frac{b^2}{4}*c^2-[\frac{b}{2}*c^2-\frac{a}{2}*(1-c)^2]^2]-0.008=0$
eq4:$g^2*[b^2*d+a^2*(1-d)-[b*d-a*(1-d)]^2]+N^2*[\frac{b^2}{4}*d+\frac{a^2}{4}*(1-d)-[\frac{b}{2}*(1-d)^2-\frac{a}{2}*d^2]^2]-0.008=0$
where c,d,N are constants.