Are My Equations Correct for Kirchoff's Rules?

[Workout]

My loop 1 equation is I1R1 + I2R2 + E1 = 0
simplified to: 4I1 + 2I2 + 28 = 0
Loop 2: I3R3 - E2 - I2R2 = 0
simplified to: 1I3 - 7V - 2I2 = 0

And my node 1 equation is: 0 = I1 + I2 + I3

So doing algebra.. I get my I1 to equal 7.. which doesn't match with the -5A for I1 as given in the problem.

Are my equations wrong? Or is my algebra wrong?

 

[lewando]

Loop 1 equation is wrong. No need to go further till that's fixed. I think you are trying to use the I references from the problem. Don't. Use only I_loop1 and I_loop2.

 

[Workout]

Okay well I changed my node equation to I1 = I2 + I3 and got the right answer in the end.