Find a+ b when:
2009a + 2008b = 2007
2008a + 2009b = 2008
From the 2 equations, a - b = -1
So 2008a - 2008b = -2008
so 4007a = -1
so a = \(-{1 \over 4007}\), so b = \(4016 \over 4017\)