SilverWook said:

It's said on screen the Falcon is in the Anoat system when Han mentions Lando.

But how did the Falcon get from the Hoth system to the Anoat system without a hyperdrive?

I'm guessing that nobody making the movie noticed this peculiarity, but it could just as well be that they were talking about two different uses of the word system at that point, star systems and planetary systems. If the 6th planet of the Hoth star system was where the rebel base was located, couldn't the Anoat planetary system be in the asteroid field, or directly beyond the it?

Picture Hoth as being where Mars is in our solar system. The Falcon could fly through the asteroid field, then find itself in the orbit of Jupiter, aka the Anoat system. Bespin would be another gas giant, aka Saturn. Since the distance between Mars and Saturn is about 8 AU, it would only take the Falcon 24 hours to travel there, traveling at only 5% the speed of light. Allowing for the high probability that the planets wouldn't be directly aligned, the trip from the orbit of Jupiter to the planet Saturn could take many weeks. However, this long voyage is likely based on how long Luke was expected to have trained with Yoda while this was happening.

If we take the Anoat and Bespin systems to be different star systems, however, they would likely be many light years away, which would take years to reach, even traveling at a high percentage of the speed of light.

This was probably just a mistake on the part of those making the movie, but in this way it could work.