Život v tomto městě je dobrý.

Czech does not have articles like English the and a/an.

So:

• Život can mean life, the life, or sometimes a life, depending on context.
• v tomto městě can mean in this city.

You understand whether something is definite or indefinite from context, word order, and other clues, not from a separate article word.

Because the preposition v meaning in requires the locative case when it shows location.

So:

• dictionary form: to město = the city
• after v for location: v městě = in the city

The demonstrative tento also has to change to match the case:

• nominative: toto město = this city
• locative: v tomto městě = in this city

So both words change because Czech uses case endings.

Město is a neuter noun, and here it is in the locative singular because it follows v in the sense of in.

Its pattern is:

• nominative: město
• locative: městě

This is a normal kind of case change in Czech. English usually keeps the noun the same and uses prepositions instead, but Czech often changes the noun ending too.

Because tento / tato / toto (this) must agree with the noun in:

• gender
• number
• case

Since město is:

• neuter
• singular
• locative

the correct form is tomto.

So:

• nominative: toto město = this city
• locative: v tomto městě = in this city

This agreement is very important in Czech.

In standard Czech, you normally keep je here.

• Život v tomto městě je dobrý. = Life in this city is good.

The verb je is the 3rd person singular of být (to be).

Unlike some Slavic languages, Czech normally does not omit the present-tense form of to be in ordinary sentences like this. So you should say je, not leave it out.

Because dobrý is an adjective, while dobře is usually an adverb.

Here, dobrý describes the noun život (life), so you need an adjective:

• Život je dobrý. = Life is good.

But dobře would describe how something is done or how someone feels:

• Mluví dobře. = He/She speaks well.
• Je mi dobře. = I feel well.

So in this sentence, dobrý is correct because it describes life.

Because the adjective has to agree with život.

Život is:

• masculine
• singular
• nominative

So the adjective must also be masculine singular nominative:

• dobrý

Compare:

• Život je dobrý. — masculine singular
• Město je dobré. — neuter singular
• Kniha je dobrá. — feminine singular

This kind of adjective agreement is one of the most important grammar features in Czech.

Yes, život is a masculine inanimate noun.

One reason you can tell is that in the dictionary form it ends in a consonant, which is often a sign of a masculine noun in Czech.

That matters because adjectives and some pronouns must agree with it:

• život → masculine singular
• therefore dobrý

It is also called inanimate because it does not refer to a person or animal.

Yes, Czech word order is more flexible than English because case endings show grammatical relationships.

The sentence Život v tomto městě je dobrý is a neutral, natural order.

But you could also hear:

• V tomto městě je život dobrý.

That version puts more emphasis on in this city.

So the word order can change for focus or style, but the original sentence is a normal default way to say it.

A rough English-style pronunciation guide is:

ZHEE-vot f TOM-to MYES-tyeh yeh DO-bree

A few notes:

• Ž sounds like the s in measure
• v is pronounced like v, but before t it often sounds more like f in connected speech
• mě is roughly mye
• je sounds like ye
• ý is a long ee sound

A more careful breakdown:

• Život = ZHEE-vot
• v tomto = f TOM-to
• městě = MYES-tyeh
• je = ye
• dobrý = DO-bree

Yes, it is grammatical and natural.

That said, in real conversation Czech speakers might also choose other adjectives depending on the exact meaning:

• Život v tomto městě je dobrý. = grammatical, understandable
• Život v tomto městě je příjemný. = Life in this city is pleasant
• V tomto městě se žije dobře. = It’s good to live in this city / One lives well in this city

So your sentence is correct, but Czech often uses several different natural ways to express this idea.