Questions & Answers about Реакция была быстрой.
Because реакция is a feminine singular noun.
In the past tense, Russian verbs agree with the subject in gender and number:
- был = masculine singular
- была = feminine singular
- было = neuter singular
- были = plural
So:
- реакция была = correct
- ответ был = masculine example
- письмо было = neuter example
Since реакция is feminine, была is the right form.
Here быстрой is the instrumental singular feminine form of быстрый.
After past-tense быть (was / were), Russian often uses the predicate adjective in the instrumental case, especially in more neutral or standard phrasing:
- Реакция была быстрой.
You may also hear Реакция была быстрая, especially in more conversational speech, but быстрой is very natural and standard here.
So the key idea is:
- быстрая = nominative feminine singular
- быстрой = instrumental feminine singular
Because the adjective is being used as part of the predicate after была, the instrumental form is very common.