SOLUTION: The problem: Find two numbers whose sum is 44 and whose difference is 22 I already know the answer - I had no problem figuring it out. What I need to see is the proper way to so

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Question 110684: The problem: Find two numbers whose sum is 44 and whose difference is 22
I already know the answer - I had no problem figuring it out. What I need to see is the proper way to solve it. I got the answers 33 and 11. This is how I started it:
x + y = 44
x - y = 22
x = 22 + y and x = 44 - y .....what next? I plugged numbers in until I found the answer but there must be an easier way?
Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Yes there is!
Your starting work is immpecable!

Now just add these two equations:
--------------
so...

Now for y...
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
You are right on track.
:


:
, and you can substitute this value of x into the first equation, thus:
:
, and solve



:
Then, knowing that , go back and substitute that value into either equation:
:


:
Hope that helps.
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