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

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To find the currents I1 and I3 in the parallel circuit, the user has established three equations based on Kirchhoff's laws. The first equation correctly states that I1 equals the sum of I2 and I3. However, the second equation provided is incorrect and needs to be revised for accurate calculations. Once the second equation is corrected, the user will have a complete set of three equations to solve for the three unknowns: I1, I2, and I3. Properly solving this system will yield the desired current values.
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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:)
 

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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.
 

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