OK, here are at least two possiblities: If you do 5 knit rows follwed by k, p, k, you'll have 3 garter ridges, and the st st will actually be reverse st st. Then you have the eyelet, 3 rows st st, 3 rows rev st st. This way the eyelet row is between a section of rev st st and a section of st st.
If you would prefer the eyelet row between rows of st st, you could knit 6 rows, then k one row, purl one row (the same as 5 rows garter, k, k, p) and then the eyelet. In both cases you have 3 garter ridges and the eyelet row is a RS row (row 9).
Either would work, just keep track of what you do so that you can repeat it on the front(s) if necessary.