Would like assistance in understanding and solving this example on elementary number theory with the steps of the solution to better understand, .
a) use the euclidean algorithm method to find all integer solutions to the equation 65x+50y=300.
b) a roadside stand bought 11 large baskets of eggs from a farmer and sold 39 small baskets of eggs, which hold fewer than a dozen. there were 19 eggs left over. how many eggs does a large basket hold?