kirchoff’s law problem

1. The problem statement, all variables and given/known data

See attached image.

Suppose I want to find the current through each resistor…how would I do so?

2. Relevant equations

Kirchoffs eqns … sum of voltages around every loop is zero

3. The attempt at a solution

1. The first problem I have with this, is that i am not sure how many currents there are. I put arrows in different colors the currents that I think there are. Could someone verify this step?

2. If (1) is correct, then I think that the blue current = red + green current

3. Next, I would attempt at using kirchoff’s law on the smallest loop, and the loop which does not involve the top two resistors (the one with 5 resistors and 2 batteries in it). Then i would solve for current using a matrix.

So generally speaking, is this a correct method?

Attached Images
File Type: png Screen Shot 2014-03-26 at 5.05.18 PM.png (64.8 KB)

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