SOLUTION: If someone could help me on this world problem ASAP that would be great, thanks! Write a system of equations that represents the scenario. The sum of two numbers is 38. One numb

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Question 877098: If someone could help me on this world problem ASAP that would be great, thanks!
Write a system of equations that represents the scenario. The sum of two numbers is 38. One number is two more than twice the other number. What are the numbers?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be +a+%7D%7C%7D%7D+and+%7B%7B%7B+b+
(1)
(1) +a+%2B+b+=+38+
(2) +b+=+2a+%2B+2+
-------------------
Substitute (2) into (1)
(1) +a+%2B+2a+%2B+2+=+38+
(1) +3a+=+36+
(1) +a+=+12+
and
(2) +b+=+2a+%2B+2+
(2) +b+=+2%2A12+%2B+2+
(2) +b+=+26+
The numbers are 12 and 26
------------------------
check:
(2) +b+=+2a+%2B+2+
(2) +26+=+2%2A12+%2B+2+
(2) +26+=+26+
OK