Hello, I have some homework due, and I'm hitting a wall on this problem. Our professor has provided us with the answers, but we must show our work. I've posted a picture of the problem I'm working on right now that's giving me a hard time. Thanks for the help!

http://imgur.com/NXr3yhB

Edit: I forgot, where you see [3], there is a 2A going into the negative side of [3]

 

Hi,

we can use Kirchoff's Current Law for the circuit node between the elements 1 and 2. The sum of ingoing and outgoing currents has to be zero, thus:
\( I_x + 2A - 2I_x = 0 \)
\( I_x = 2A \)

 

Hi,

we can use Kirchoff's Current Law for the circuit node between the elements 1 and 2. The sum of ingoing and outgoing currents has to be zero, thus:
\( I_x + 2A - 2I_x = 0 \)
\( I_x = 2A \)

Thank you. I was doing multiplication the whole time, and it was coming out to be like
\(I_x * 2A = 2I_x \)
Which is a big "duh".
I feel dumb now.