Why is my mesh analysis incorrect?

[theBEAST]

Homework Statement

EDIT: I THINK I FIGURED IT OUT, JUST NEED SOMEONE TO CONFIRM. I think the reason why my mesh analysis is wrong is because there is a voltage drop across the current source. Am I right?

Here is the problem along with my attempt

Find I_o using mesh analysis:

Alright so if you look at my second last and last line, i solved for i₁ again to verify that my mesh was correct. However as you can see my i₁ came out to be 10mA which is not the same as the i₁ value that can be found by relating i₁ to the 2mA current source (which is -2mA as you can see in the first line). Does anyone know what I am doing wrong? I am using the method that my professor went over in class where if you have a resistor for example in the second last line, you take the resistor and multiply it to the current difference between i₃ and i₁.

 

[gneill]

Hello TheBEAST, there are two current sources both of which are not shared between meshes, so in fact they predetermine the mesh currents for their loops. That means you begin with two out of three of the currents solved, and no need to write equations for them. For example, there's no point in trying to solve for i₁ if the 2mA source has it fixed at -2mA.

So concentrate on the second loop.