In a quiz game, a player earns points for each correct answer and loses points for each incorrect answer. The total score is calculated by subtracting the total points lost from the total points earned.
During the first round, a player answered 10 questions correctly and 3 questions incorrectly, resulting in a total score of 85 points. In the second round, the same player answered 12 questions correctly and 5 questions incorrectly, resulting in a total score of 95 points.
Which system of equations correctly models this scoring system to determine the values of and ?
10P + 3Q = 85
12P + 5Q = 95
10P - 3Q = 85
12P - 5Q = 95
3P - 10Q = 85
5P - 12Q = 95
10P + 85 = 3Q
12P + 95 = 5Q
