Breakdown of Таким образом, каждый получил ответ.
ответ
answer
каждый
every
получить
to receive (perfective)
таким образом
thus, in this way
Questions & Answers about Таким образом, каждый получил ответ.
Why is Таким образом in the instrumental case here?
In Russian, the instrumental case is often used to express the manner or method in which an action is done. Here, it literally translates to "by such a manner," giving us the phrase "in this way" or "thus."
Doesn't образ usually mean "image"?
Yes, its primary meaning is "image" or "form," but it is also used to mean "manner" or "way" in many fixed expressions. Таким образом is a very common set phrase you can use just like "therefore" or "in this way" in English.
Could I use все (everyone/all) instead of каждый in this sentence?
You could, but it changes the nuance and the grammar slightly. Каждый emphasizes that each individual person got their own answer, and it requires a singular verb (получил). Все focuses on the group as a whole and would require a plural verb (Все получили ответ).
Why does ответ look like it is in the nominative case if it is the thing being received?
It is actually in the accusative case because it is the direct object of the verb получил. However, for masculine inanimate nouns like ответ, the accusative form looks exactly the same as the nominative dictionary form.