1. The problem statement, all variables and given/known data Using Kirchhoff's rules, calculate the current in R1 with the directions indicated in the figure above. Assume that R1 = 1.00kΩ, R2 = 3.00kΩ, R3 = 5.00kΩ, E1 = 75.0V, E2 = 65.0V and E3 = 85.0V. 2. Relevant equations Kirchhoff's rules 3. The attempt at a solution Using Kirchhoff's rules I can get I2 = I1 + I3. Which so far is the only thing I'm certain is correct. Next I need two equations from the loops (left and right) and then just solve the system of equations. I don't know if I am setting these up wrong but none of my answers have been correct thus far. I got: E1 - R1I1 - R2I2 - E2 = 0 and E2 - R2I2 - E2 - I3R3 = 0 which come out to 10 - I1 - 3(I2) = 0 and 20 - 3(I2) - 5(I3) = 0 which results with I1 = 0.869 = 0.000869A when taking into account the resistances were kiloohms. Neither of these answers are correct. Calculations shouldn;t be the problems either because I've been lazy and just plugging into wolfram alpha to solve the systems of equations. I assume I am doing something wrong with equations 2 and 3. Any help would be appreciated.