May I after having installed Linux 16.04 mate delete a partition using a live CD utility not too perfect booting my installed version of 16.04 mate?

HI @raritz121,

as long as you are sure that your boot-loader is on /sda9 and not on /sda6, you should be able to delete it (/sda6) no problem!.

If you have problems with the boot-loader afterwards, you the Ubuntu Mate live Cd and see "Dual Booters" in Welcome!:

See also: