Pq = 2x + 1 and qr = 5x - 44; find pq

What are correct trigonometric ratios that could be used to determine the length of ln

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.

3x + 4y = 5 x- 3y = -7 solve by substitution