Can someone please answer these 2 questions?

What properties allow transformation to be used as a problem solving tool

Someone answer asap for ! the total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?

Factor the polynomial expression x6 – x3 – 20