I'm just starting to learn off about methods of analysis and was asked to find the Current I1 and I2 in those specified directions using Mesh analysis. After applying Supermesh I got I1=3.33A and I2=0.7278A. Is it right? I got no finals answers rom the book or anything so I wanted to know if I'm doing it right or not.
Thanks.

 

You need to learn how to check your own work.

If I were to tell you that I1 is 3.33 A and that I2 is 0.7278 A, could you tell me whether those currents are consistent with the problem?

First, see if the two current add up to 4 A.

If they do (or if they are close enough that you are willing to write off the difference to roundoff error) then use I1 to walk yourself from the left hand side and find the voltage at the junction of the two currents. Then do the same using I2 and walking yourself in from the right. Do you get the same value for the voltage at the junction?