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I am looking up those cartridge numbers, to see if they are listed as compatible with your new printer's model # (Epson WF-2750 or 2760).
If they are knockoffs, or 'Epson compatible', or refills, etc., there might be a good reason why they don't work. But first, I'll determine that cartridge #s' listed compatibility.
Epson 220 and 220XL are listed as compatible with WF-2750.
You may have a defective cartridge - esp. likely if it's the least bit cheaply made - in which case, put it back in its package and return it for a refund, or an exchange for another one that works.
Or you might have a defective printer perhaps. Has the black ink ever worked in this printer?