First washing machine, then dishwasher are 100% clogged!?

can you Access the drain? either in the pipe or in the floor ?see if you can borrow a pipe snake is any one else in the building experiencing problems?is there standing stinky water in your lawn. this probably is a landlord issue. although by law he is not required to provide you with a working washer (unless it is stated in your lease) he is required to maintain a sanitary environment