Question

Rafael plays a trivia game with 2 rounds. In the first round, he earns 5 points for answering a question correctly and loses 3 points for answering a question incorrectly. In the second round, he earns 10 póints for answering a question correctly and loses 4 points for answering a question incorrectly. The equations below represent Rafael's performance in each round. 5x– 3y = 22 10x – 4y= 46 Which condition must be true to make the pair of equations a system of equations?

a He answers a total of 15 questions correctly.
BHe answers the same number of questions correctly as he answers incorrectly in each round.
C He answers twice as many questions correctly in the second round as he answers correctly in the first round.
DHe answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds​

Answer 1

D. He answers the same number of questions correctly in both rounds and the same number of questions incorrectly in both rounds​.

Explanation:

In the first equation he earns 5 points and loses 3 points. The value of one question is 5 points, and the value of losing one question is 3 points. The same goes for the second equation except the fact that its 10 points and 4 points lost instead.