Ja živim u gradu.

You can very often drop ja.

Serbian verb endings usually already show who the subject is, and živim clearly means I live. So:

• Ja živim u gradu. = I live in the city.
• Živim u gradu. = also I live in the city.

Including ja often adds emphasis, contrast, or clarity, for example:

• Ja živim u gradu, a on živi na selu.
  I live in the city, but he lives in the countryside.

So ja is correct, but not always necessary.

Živim is the 1st person singular present tense form of the verb živeti (to live).

So the pattern is:

• ja živim = I live
• ti živiš = you live
• on/ona/ono živi = he/she/it lives
• mi živimo = we live
• vi živite = you live
• oni/one/ona žive = they live

A native English speaker often wants to know where the word I is in the verb. In Serbian, the ending -im already tells you it is I.

Because after u meaning in, Serbian uses the locative case for location.

• grad = city, town
• u gradu = in the city / in town

So grad changes form to gradu because it is in the locative singular.

This is a very common pattern in Serbian: nouns change form depending on their role in the sentence.

Gradu is in the locative singular.

The noun is:

• base form: grad = city / town
• locative singular: gradu = in the city / about the city, depending on the preposition

In this sentence, u gradu means in the city, so gradu is locative because it follows u in a location meaning.

No. U can take either locative or accusative, depending on the meaning.

• u + locative = location, being inside something
  
  • Živim u gradu. = I live in the city.
• u + accusative = movement into something
  
  • Idem u grad. = I am going to the city.

So a useful rule is:

• Where? → usually locative
• Where to? → usually accusative

That is why u gradu and u grad can both exist, but they mean different things.

For grad (city/town), Serbian normally uses u:

• u gradu = in the city

Using na would not be natural here.

English speakers often struggle because Serbian chooses prepositions differently from English. For places, you often just have to learn the usual pairing:

• u gradu = in the city
• na selu = in the countryside / in the village environment
• na fakultetu = at university / at the faculty
• u školi = in/at school

So with grad, the normal choice is u.

Yes. Serbian word order is more flexible than English word order.

The neutral order here is:

• Ja živim u gradu.

But you may also hear:

• Živim u gradu.
• U gradu živim.

These versions are all possible, but they can sound slightly different in emphasis.

For example:

• Živim u gradu. = neutral, natural, often the most common in speech
• Ja živim u gradu. = emphasizes I
• U gradu živim. = emphasizes in the city

So the sentence structure is flexible, but not random: changing the order often changes what is highlighted.

It can mean both city and town, depending on context.

In Serbian, grad is a general word for an urban settlement. English often forces you to choose between city and town, but Serbian does not always make that distinction so sharply.

So Ja živim u gradu could be understood as:

• I live in the city
• I live in town

The exact translation depends on context.

Serbian has no articles like English a/an and the.

So Serbian does not normally mark that distinction directly with a separate word.

Because of that, u gradu can mean:

• in the city
• in a city
• sometimes even in town

Context tells you which meaning is intended.

This is very normal in Serbian, and learners need to get used to the idea that definiteness is often understood rather than stated.

Yes, živeti is imperfective.

That fits the meaning well, because to live usually describes an ongoing state or repeated situation, not a single completed action.

So Ja živim u gradu expresses a general, ongoing fact about where someone lives.

This is why a perfective verb would not normally be used here. Serbian aspect matters a lot, and in this sentence the imperfective verb is exactly what you would expect.

The letter ž is pronounced like the s in measure or the g in genre.

So:

• ž ≈ the sound zh

That means živim sounds roughly like ZHEE-veem.

A few quick pronunciation notes for the whole sentence:

• ja ≈ ya
• živim ≈ zhee-veem
• u = oo
• gradu ≈ GRAH-doo

So a rough guide is:

• Ja živim u gradu ≈ Ya zhee-veem oo GRAH-doo

This is only approximate, but it helps many English speakers get started.