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There seems to be a lot of questions like this and they are all solved the same way, The 2 integers are n and m, with n+m =-9 and n-m = 5. Add the 2 equations together and you get 2n=-4 so n=-2. Subtract one equation from the other and you get 2m=-14 so m=-7. Answer -2 and -7

Notice that there are 2 ways of getting the difference of 5. if you try m-n=5, you finish up with the same answer.

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