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The region R defined by 2x+3y=6 is a straight line
for statement 1 we have 3r+2s=6 which gives that (r,s) are on a straight line different than R. so (r,s) does not necessary belong. but we have to make sure that it intersects it. (to prove that it belongs and doesn't belong)
as you can see from the 2 straight lines we have an intersection (6/5,6/5). so statement one is insufficient
for statement 2 we have the point (3,2) plugging it in the the straight line
2x+3y=6 we can know if it belongs or not. so statement 2 is sufficient