Hi. I need help solving the electric DC circuit. Given inputs are:

R2=R3=R4=R5=300 Ohm

I need to calculate current I1 just in the second case.

First case:

I2=100mA,I3=40mA

E1=30V, E2=E3=30V

Because R1 and R6 are not given, in first case I tried with compensation theorem which gives 4 equations but I cant solve it because of R1 and R6. Which method other than compensation should I use if possible? Are resistors R1 and R6 even neccesary?

Second case:

E1=0V,E2=15V,E3=60V

So if I find R1 and R6 all parameters are known and it is easy to find I1.

Thanks for answers.

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