Solve the problem using the elimination method.
-The sum of two numbers is 33. The larger number minus the smaller number is 9. What are the numbers?
A)21 and 12
B)25 and 8
C)19 and 14
D)14 and 23

Question

Quizplus · Accepted Answer

Let the two numbers be x (larger) and y (smaller). The system of equations based on the given information is: x + y = 33 (sum of the numbers) and x - y = 9 (difference between the numbers). Adding these two equations eliminates y, giving 2x = 42, so x = 21. Substituting x = 21 into one of the original equations gives y = 12. Therefore, the numbers are 21 and 12.

Solve the Problem Using the Elimination Method