Have you been definitely diagnosed as type 2, as weightloss is more like type 1 or one of its variants.
If you do not see a response to cutting down on carbs then that ought to ring alarm bells for your GP to do further tests if not done already.
If you are type two and nothing more interesting, then cutting out high carb foods should result in lower blood glucose which you can adjust easily by altering what you eat.
Reducing in steps rather than drastically would be wise, as a rapid drop can result in unwanted effects, even damage to the eye due to the rapid alteration of sugar in the fluids.