Seattle has been eliminated from first place.

To show that Seattle is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
         Houston	81	81	0	0.500	0.0
           Texas	80	82	0	0.494	1.0
         Seattle	76	86	0	0.469	5.0
         Oakland	64	98	0	0.395	17.0
        LAAngels	62	100	0	0.383	19.0
           Total	363	447	0

Seattle can finish the season with at most 76 + 0 = 76 wins and will finish the season behind the following teams:
Houston has already won 81 games.
Texas has already won 80 games.
# Seattle Mariners' magic number
# Seattle's magic number
# Mariners' magic number
# MLB Playoff Race