All modal verbs are auxiliary verbs. They work with the main verb. However, auxiliary verbs also include the non-modals "to be", "to do" and "to have".

Hello katerina While my text is not the correct answer you requested, I thought it would help you understand. Good luck. would for the future in past. When talking about the past, we can use would to express something that has not happened, at the time we are talking about: In Australia, she met the man that she would one day marry. He left twenty minutes late, unaware that the delay would save his life. would for conditionals We often use would, to express the second and third conditionals: If he lost his job, he would have no money. If I had won the lottery, I would have bought a car. Using the same conditional structure, we often use would when giving advice: I wouldn't eat that if I were you. I would not eat that, If I were in your place I'd refuse. I would refuse, if it was me If you asked me, I would say you should go. Sometimes the condition is "understood" and there does not have to be an "if" clause: If someone liked John they would probably love John's father. You'd never know it: - If you met him you would never know that he was rich Why don't you invite Mary? I'm sure she'd come - If you invite Mary, I'm sure she would come