Washing Machine Hookups Not Shutting Off
If the faucets that are in the lines to the washing machine hookup have been in the ON state for years the internal seals are likely deteriorated so that they no longer will function. If you have a water supply with a lot of minerals the water they may have deposited on the inside of the faucets to the point that it is not possible to turn them off.  

To get past the immediate connection problem you can turn off the main supply valve where water pipes come into the property. However it would be strongly recommended to replace these faulty faucets as soon as possible. Last thing you need is to be standing there by your washer when a hose bursts and you cannot quickly shut off the faucets behind the washer.