SOLUTION: The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8. Find the numbers. I feel as if this problem has a simple way of going about it, I'm

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Question 810812: The sum of two numbers is 2. If one number is subtracted from the other, their difference is 8. Find the numbers. I feel as if this problem has a simple way of going about it, I'm really not sure how to find the solutions. Any help would fantastic. Thank you.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Just write an equation for each statement
;
The sum of two numbers is 2.
a + b = 2
:
If one number is subtracted from the other, their difference is 8.
a - b = 8
:
Find the numbers
Use elimination here
a + b = 2
a - b = 8
------------adding eliminates b, find a
2a = 10
a = 5
Find b using the 1st equation
5 + b = 2
b = 2 - 5
b = -3
:
Check solutions in the 2nd equation
5 - (-3) = minus a minus is a plus as you probably already know
5 + 3 = 8