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

Algebra ->  Equations -> 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      Log On


   

Question 110683: 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 stanbon, scott8148:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 44
x - y = 22
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Add the two equations to get:
2x = 66
x = 33
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Substitute into x+y=44 to solve for y:
33+y = 44
y = 11
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Cheers,
Stan H.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if you add your two qriginal equations together, you get 2x=66 (the y's cancel each other)

so x=33; and 33+y=44 so y=11