Kirchoff's Law Problem: Finding Currents in a Parallel Circuit

[ahazen]

Kirchoff Law Problem (please help me):(

I need help trying to find the current I1 which flows through R1 and the current I3 that flows through R3.

Given:
E1=8V
E2=4V
R1= 110
R2=40
R3=50
R4=50

I figured out that the first equation is: I1=I2+I3
The 2nd equation: 8V-160I1-40I2-50I3=0
3rd equation: 4V+40I2-50I3=0

I'm not sure what to do from here.

thank you:)

 

[Thaakisfox]

Your second equation is wrong. fix that, and then you will have a set of 3 equation for three unknowns (I_1,I_2,I_3). Solve this system of equations and you are done.