Analyzing a curcuit

Question

  I've been taking an online course in electronics (basic), and I've been having a hard time solving this circuit, pic: http://bit.ly/1rlDP1V
 
The goal is to find value of v3, i5, power dissipated in the resistors, and the power coming out of voltage and current source. This can be achieved sing KVL and KCL, or node method. Step by step for both would be great!

I've tried KVL on the big loop it didn't work out because of the parallel resistors who wont combine normally because of the signs, and also I can't find voltages of the sources. Using node method, they say if you choose the right node you can finish this with one equation.

Thanks

EDIT: Here are the values V=6V, I=11A, R1=2Ω, R2=6Ω, and R3=6Ω

Answer 1

You can simplify things a bit by finding R6, the equivalent resistance of R1 and R2 in parallel = 2*6/8 = 1.5.

Call i6 the current thru R6 (in the same direction as i2).

 

Looking at the node for currents i6, i4, and i3, they must sum to 0, so i3+i4+i6=0

we know i4 = -11 from the current source, so i3+i6 = 11

 

The voltages across the resistors must sum to the voltage source of 6V

v3 = i3*R3

v6=i6*R6

 

6*i3 -1.5*i6 = 6

 

Solving gives i3 = 3, i6 = 8

 

v3 = +18V

v6 = -12 V

sum is +6V as required.

 

You can then find the currents in R1 and R2 using 12V across each one, which add to i6

 

 

Answer 2

I don't know electronics but I can't imagine finding values for power coming out or going in because there isn't a single number provided. There is no value for current, voltage, or resistance so something is missing.