(1)solve this system using the substitution method: 5x + 3y = 2; -5x –y =10(2) solve this application problem using a system of equations: 32,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. the day's receipts were $200,000. how many people paid $13.00 for reserved seats, and how many paid$4.00 for general admission?

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.