The solution of {x + y = m + 2; 4x + 5Y = 6m + 3} is an integer
y=m+2-x
So 4x + 5m + 10-5x = 6m + 3
x=-m+7
If x is an integer, then M is an integer
Here y = m + 2-x is an integer
So m is any integer
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