Yahweh is the name of the Father whom Jesus referenced, but Elohim is plural and means "Gods". Presumably Yahweh is included in this group, but then who are these other Gods? Who is the "us" in "Let us create man in our image"?
The answer hides in plain sight within Scripture, but is hard to understand and an explanation was generally reserved to the mature as a
mystery.
Hear, O Israel: The LORD our God
is one LORD:
שְׁמַע יִשְׂרָאֵל יְהוָה אֱלֹהֵינוּ יְהוָה אֶחָד׃
Tell me, what translation would you give to the phrase יְהוָה אֱלֹהֵינוּ ? Don't transliterate the words or give a substitute word (Lord) as the Jews do because they will not pronounce the divine name... give all the words their full meaning.
Now, what translation would you give to יְהוָה אֶחָד ?
And finally, this is a Hebrew parallelism and those two phrases parallel each other, so they
must have the same meaning. If you've translated correctly, you should have your answer. :)