I was hoping someone could help out, I am working out a problem with Kirchoff's Laws and cannot seem to get the math to work out properly, at least I think the math is not working properly. I was hoping to run it by someone here. 1. The problem statement, all variables and given/known data The circuit is as follows: A battery of 24 V on one end connected to two parallel resistors with values of 5 Ω and 7 Ω. Mesh one will be the loop between the battery and the 5 Ω resistor, which has a current of I1. Mesh two will be the loop between the 5 Ω resistor and the 7 Ω resistor, which has current of I2. 2. Relevant equations The equations I set up are as follows: 0 = -24 + 5*(I1 - I2) 0 = 7*I2 + 5*(I2 - I1) 3. The attempt at a solution After calculating the values I obtained these numbers: I1 = 8.229 A I2 = 3.429 A I tried verifying these answers by using V = I*R Finding Req to be 2.917 Ω. Therefore I = V/R and I = 8.228 A and since the current from I1 is the same value it seems that the values obtained from Kirchoff's Laws do not match the Ohm's Law current. I am uncertain if I am not realizing a concept but this does not make sense to me. Any help is appreciated. Thank you, A.B.