Understanding 手を取り


So I'm trying to understand the expression 手を取り (to take hands) in the context
of this lyric from "Suteki Da Ne":

> 二人手をとり 歩けたなら

I know that since 取り is 取る's stem form, it can act like the te-form 取って. As
the lyric involves two people, that make the lyric something like "If the two
of us could take hands and walk." However, 取り合う (to take each other by the
hand) or "hand in hand" would be more grammatically correct, but change the
lyric.




Perhaps, it is to match the melody. I have the impression that only one person
is trying to take the other's hand, but it is not so strange.

