Solve the problem using the elimination method.
-The sum of two numbers is 100. The second number is three times as large as the first number. What are the numbers?
A) 22 and 78
B) 23 and 69
C) 23 and 77
D) 25 and 75

Question

Quizplus · Accepted Answer

The system of equations based on the problem is: x + y = 100 (where x is the first number and y is the second number) and y = 3x. Substituting the second equation into the first gives x + 3x = 100, leading to 4x = 100, so x = 25. Then, y = 3(25) = 75. Therefore, the numbers are 25 and 75.

Solve the Problem Using the Elimination Method