Understanding Valid Connections: Get the Help You Need

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Homework Statement



http://i134.photobucket.com/albums/q100/megajette2/2.png

I'm not really sure about this. If someone could just explain the concept so i can figure it out, it would be much appreciated. Neither one of them looks like a valid connection, but i have no experience with this.
 
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Test: put a resistor across the terminals and determine if you can compute a current and voltage (obviously voltage will = current x R).

Put two differing current sources in series and try to do the same. Can you come up with a current?

Try to do the same with two differing voltage sources in parallel. What then?
 
I don't have any parts to test on. I was just learning about in series and parallel resistors, but mostly about finding equivalent resistors.
 
I don't mean use actual components. Draw the schematic with the resistor shunting the network terminals and try to write KCL or KVL equations that aren't self-contradictory.