Solve the problem using the elimination method.
-The sum of two numbers is 104. The second number is three times as large as the first number. What are the numbers?
A)26 and 78
B)23 and 81
C)24 and 72
D)24 and 80

Question

Quizplus · Accepted Answer

The system of equations based on the problem is: x + y = 104 (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 = 104, which simplifies to 4x = 104. Solving for x gives x = 26. Substituting x = 26 into y = 3x gives y = 78. Therefore, the numbers are 26 and 78.

Solve the Problem Using the Elimination Method