"Ta žena jí sýr."

Translation: The woman is eating cheese.

[TrudyBe]

and why not also 'the/that woman eats cheese'

[hi8JsYeg]

why "this" instead of "the" is not accepted?

[Zygro]

"this woman eats cheese" would be more likely translated to "Tato žena jí sýr".

"Ta" is used mostly as "that", or "the".

[KarelPaur]

The woman eats cheese. The woman is eating chesse. Where is the different or mistake?

[VladaFu]

Both are possible.

[Roberto2496]

Why do they use ji instead of jedi or jis

[VladaFu]

Based on all your last questions you really need to have a look at the Tips and notes provided. The verb must agree with the subject. jí is third person singular, jedí is third person plural, jíš is second person singular