The best way to show the basic idea of a circuit is to build it step-by-step. I do this every year with my students at the beginning of the laboratory exercise about latches in the laboratory of digital electronics. You can see how in the movie below and also in this Wikibooks story written by my students:
http://en.wikibooks.org/wiki/Circuit_Idea/Group_67b#Lab_4:_Endowing_circuits_with_memory
Here is the building "scenario":
1. To make a latch (flip-flop, memory cell, 1-bit RAM...), we need only a non-inverting amplifier - we just connect its output to the input... and it begins "memorizing"... keeping by itself at the "top" (+Vcc) or the "bottom" (ground). BTW this clever idea was proposed in 18th century by Baron Münchhausen... so that he can be considered as the inventor of the most elementary RAM cell:)
2. But, for some reasons (?), in electronics there are only inverting amplifying stages - a common-emitter amplifier, in this case. So, to make a non-inverting stage, we connect (by the yellow wire, in the picture below) in succession (cascaded) two inverting stages, and then connect (by the black wire) the output of this non-inverting amplifier to its input. Actually the two stages are connected in a loop... but for some reasons (maybe to hide the idea:) they draw this configuration as two cross-coupled stages. We should connect the base resistors to extend the small (0.7 V) input range of the the bipolar transistor up to Vcc (+12 V). If we do not connect them, the forward-biased base-emitter junction (like a diode) will fix the collector voltage of the other transistor at +0.7 V, and the LEDs will ever light.
3. We can drive this latch in various ways (as you can see in the movie):
https://drive.google.com/open?id=0B45uRPpHPD9hVERNa1pmNl9SOG8