In Gittin we find a Machlokes about an historical fact. When one of the Bar_Plugtos met Eliyahu Hanavi, he asked him what Hashem was doing. Eliyahu replied that Hashem is learning that Sugya that they were arguing about, and saying, Rav Evyasar B’ni Omer Kach… Hashem is quoting them on the issue. He asked, is there a question in Shamayim? Eliyahu answered, Eilu Va’eilu Divrei Elokim Chayim.
There is a lot to be gleaned from this Gemara. First of all, it can apply to an historical fact. Secondly, it is a special Madreiga that his Torah was quoted by Hashem, as the Gemara there uses this as proof of his greatness and reliability. And lastly, one Pshat might be more of a direct answer but both were true.
The Machlokes was about what made the man angry at his Pilegesh, in the story of Pilegesh Bigiv’a. Eliyahu answered that Eilu Va’eilu, first this happened and he overlooked it, then the second thing happend and he lost it.
The Maharal, in Be’er Hagolah, explains that only by Beis Shammai and Beis Hillel were they equally right. In other Machloksim one can be more right. However, they are both true ways of looking at something and are both Toras Emes.