Samuel is working two summer jobs, making $19 per hour lifeguarding and making $8 per hour walking dogs. In a given week, he can work no more than 10 total hours and must earn a minimum of $120. Also, he must work at least 6 hours lifeguarding. If x represents the number of hours lifeguarding and y represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution.