A multiple choice competition awards 2 points for correct answers and deducts 1 point for incorrect answers. Across 40 total questions, the participant scored a total of 50 points. Using simultaneous linear equations of the form C + W = 40 and 2C - W = 50, where C is the number of correct answers and W is the number of incorrect answers, the equations can be solved to determine that the participant answered 30 questions correctly and 10 incorrectly.