"I go to the train station by bike."
Sorry, you're right, 'until' is a better translation for まで. However, it means the same. The way this is phrased in Japanese is 'I ride my bike until I get to the train station', which is super clunky when you say it in English, so we translate it to 'I ride my bike to the train station'. Hope that clears it up.
Because you are not doing something "in" the bike. "De" Indicates WHERE something happens... So... You don't GO "in" a place, you are changing the place you are after all. Huh. It's tricky to explain. But I think you got it. Well, that's just an observation I made. It could be wrong.
In the most basic sense, で is an active particle, and に is passive. Because you're going by bike, an active choice, you should use で. In this instance in particular, に is always used as the particle before 行きます, as it indicates where you are going - using it in this example says "I am going to the bike", instead of "I am going by bike". Hope that helps!
”じてん車でえきへ行きます。” this is the answer i was given when i wrote "じてんしゃでえきは行きます" (mind you i do not even bother looking at the provided word bank, because firstly it doesn't always have every word you need anyway, and secondly typing it is better for learning.) Any reason why it corrected my は in the sentence to a へ. i understand that it was likely wrong, but firstly i don't know what the particle へ does in a sentence, and i also want to understand why it didn't just give me the correct sentence everyone else got?
To answer your second question first, when there are multiple correct translations that are possible, I believe that duo will correct your answer to the one most similar to it. Each of the possible Japanese translations have subtle nuances of meaning for use in different contexts that are not present in the English sentence so therefore all of them are potentially correct.
The へ particle indicates the direction or location towards which travel is taking place when used with a movement verb. In this case 駅へ行きます (えきへいきます) indicates that you go towards the station, with an emphasis on the movement or journey itself. If the に particle was used instead of へ it would emphasise the destination, i.e. that it's the station that you go to.
は is a particle that denotes whatever comes directly before it as the subject of the sentence. If it were to begin with 私, for example, then は would be necessary afterwards, but because 駅 is not the subject (eg. the sentence is not "The train station travels by bike"), and because the particle まで (to, until) is already there to link sentence elements, it's not necessary here. Hope that helps!
You've swapped your particles around - まで means "until", and で is used when explaining the means by which you travel, in this case, a bike. The way your sentence would translate is "I will go to the bicycle by train station". A really small mistake, and totally understandable! I'd recommend reading up a little on particles if you get the chance, whether here or elsewhere on the internet - they're essential, but super tricky little pests! Hope that helps :)