Algebric equation with Sympy

[pooyan89]

Hi !

I have two hard equations which I tried to solve them with a numerical value by using Sympy:

from sympy import *
import sympy as sy
import math

s,v=symbols('s v')

s=((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s))

v=((570*s+I*3700)/(21*(2*v-s))) + (8/13) * ((77000*v - I*1400)/(v+s))
sol=solve([s,v],[v,s])

but I dont get s and v. What is the problem? I can not even use the nsolve. I get error

[scidam]

You are likely need to declare your equations (using Eq), e.g.

eq1 = Eq(((4.13 +  I ... )
eq2 = Eq(((570*s + ... )

and, finally, solve it, as you did:

solution = solve((eq1, eq2), [v, s])
print(solution)

[pooyan89]

You are likely need to declare your equations (using Eq), e.g.

eq1 = Eq(((4.13 +  I ... )
eq2 = Eq(((570*s + ... )

and, finally, solve it, as you did:

solution = solve((eq1, eq2), [v, s])
print(solution)

Thanks for the help but as I wrote my equations are :

s=((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s)) or better say:
s-((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s))=0

v=((570*s+I*3700)/(21*(2*v-s))) + (8/13) * ((77000*v - I*1400)/(v+s))

or

v-((570*s+I*3700)/(21*(2*v-s))) + (8/13) * ((77000*v - I*1400)/(v+s))=0

I tried with:

eq1=s-((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s))
eq2=v-((570*s+I*3700)/(21*(2*v-s))) + (8/13) * ((77000*v - I*1400)/(v+s))

but solution = solve((eq1, eq2), [v, s]) gaves me an empty list...

[scidam]

I got the solution for slightly different equations (I misunderstood you), I considered the following

eq1 = Eq(((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s))),

but you need

eq1 = Eq(s - ((4.13 + I*568)/(4*(s+v))) -(5/6) * ((1400*s+120*I)/(v+4*I*s)))

Trying to solve new equations lead to empty solution (I've tried to solve them using solve).
Are you sure that the system has a solution? Try to convert it to a polynomial form
(reduce denominators).