Impossible to delete faces, because of vertex with more than 2 converging open edges

Dear All,

I have a surface that is too wide, I partitioned the edges faces and I want to delete them (violet ones).

I get an error: cannot delete faces because of vertex with more than 2 converging open edges .

 don't know how to proceed. I tries to selected faves I don't want to delete (blue ones), offset them by 0 mm to then select the whole surface and delete ,so it only remains the wanted (0mm offset) surface. But I get and error: the surface is non- manifold, try to use an smaller offset distance.

I struggling since a long time for this simple action...

I thank for your help

SolidworksSurfacing