Ваш компьютер быстрый.

Breakdown of Ваш компьютер быстрый.

быстрый
fast
компьютер
the computer
ваш
your
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Questions & Answers about Ваш компьютер быстрый.

Why is there no verb like есть or быть in Ваш компьютер быстрый?

In present-tense Russian, the copula (“to be”) is usually omitted. You simply state the subject (Ваш компьютер) and the predicate adjective (быстрый) to mean “Your computer is fast.” If you need past or future, you’d use был or будет:
Ваш компьютер был быстрым – Your computer was fast.
Ваш компьютер будет быстрым – Your computer will be fast.

Why is Ваш capitalized?
Because it’s the first word of the sentence. Russian orthography capitalizes the opening word, not the pronoun itself. If ваш appeared later, it would be lowercase.
What does Ваш mean, and when do I use it instead of твой?
Ваш is the formal (or plural) “your.” Use it when addressing someone politely (e.g., strangers, clients, superiors) or when speaking to more than one person. Твой is informal singular “your,” used among friends, family, or equals.
What case are Ваш, компьютер, and быстрый in?
All three are in the nominative case, singular number. In a straightforward statement subject + predicate adjective, both noun and adjective appear in the nominative.
Why does быстрый end with -ый?
Because быстрый is an adjective agreeing with a masculine noun in the nominative singular strong declension. Masculine nouns like компьютер (ending in a consonant) take adjectives in -ый.
Why is быстрый placed after компьютер, while attributive adjectives usually go before the noun?
Here быстрый is predicative (“is fast”), so it follows the noun. Attributive adjectives (describing a noun inside a noun phrase) come before it, as in быстрый компьютер (“a fast computer”).
How would I turn this into a yes/no question?

You can simply raise your intonation at the end:
Ваш компьютер быстрый?
For a more idiomatic phrasing, many Russians say:
У вас быстрый компьютер?
(“At you [is a] fast computer?” meaning “Is your computer fast?”)

How can I say “Your computer is very fast”?

Insert очень before the adjective:
Ваш компьютер очень быстрый.
You can also use intensifiers like супербыстрый (“super-fast”).

How would I say “Your computers are fast” (plural)?

Use the nominative plural forms:
Ваши компьютеры быстрые.
Ваши = plural “your,” компьютеры = computers, быстрые = fast (plural).

How do you pronounce быстрый and компьютер?

быстрый [ˈbɨstrɨj] – ы is a back unrounded vowel (not like English “i”), and -ый ends with a slight glide [ɨj].
компьютер [kɐmˈpʲjutʲɪr] – stress on пью; the initial о reduces to [ɐ], ю is [ju].

What’s the difference between Ваш компьютер не быстрый and Ваш компьютер небыстрый?

Ваш компьютер не быстрый (two words) simply negates: “Your computer is not fast.”
Ваш компьютер небыстрый (one word) is a lexicalized adjective meaning “slow” or “not particularly fast,” carrying a slightly different nuance.