SOLUTION: The sum of a lesser number and twice a greater number equals 8. The sum of twice the lesser number and the greater number equals-6. What are the two numbers?

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Question 258665: The sum of a lesser number and twice a greater number equals 8. The sum of twice the lesser number and the greater number equals-6. What are the two numbers?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the smaller number, B the larger.
1.A%2B2B=8
2.2A%2BB=-6
Multiply the first equation by -2 and add to the second,
-2A-4B%2B2A%2BB=-16-6
-3B=-22
B=22%2F3
Then from eq. 1,
A%2B2B=8
A=8-2B
A=8-2%2822%2F3%29
A=24%2F3-44%2F3
A=-20%2F3