The answer provided to you by Buildersmate is absolutely correct. You have no legal right to remain in breach of your tenancy agreement with your landlord under these circumstances, and, although you say you are making some effort to repay the arrears by mans of some extra payments, the fact remains that your landlord may pursue the outstanding debt even though you may have left the property. The outstanding debt may be pursued by means of attachment of earnings, or by reducing your social security benefits, until the entire balance has been paid off.