Can a lease be amended after the start of a lease?

[Eric M.]

So my lease started as of July 1st. It is a one year lease, and I just bought a house (it was something I couldn't pass on). Now, I am trying to get out of my lease. I asked to amend the lease, say to 3-4 months at a higher rate per month, then resolving me from my liability for the remaining 8-9 months of the lease. They said that since the lease has started they cannot amend the lease due to the Fair Housing Act. I am still new to this, but this seems untrue. I don't see where it states that if all involved parties agree to the amendment to the original lease, that it cannot be change.  I suppose that the only way it can be interpreted that way was if they did it for me and didn't for someone else? Can someone help me out here?