We are translating German math videos to English and stumbled over the fact that there are two translations of "Lineare Gleichungssysteme":

* Linear System of Equations
* System of linear Equations (e.g. [Wikipedia](https://en.wikipedia.org/wiki/System_of_linear_equations))

From my point of view those describe two different things. A "*linear* system" and second a "… system" (which does not have to be linear).

But it seems to be used for the same thing. Why? And is it correct?

PS: Here is the translated video with the (recent) title "Linear System of Equations": <https://www.youtube.com/watch?v=SPu8dHq_9VA>