Answer:
The result would be 50% red-eyed female and 50% red-eyed male
Explanation:
Crossing a homozygous dominant with a homozygous recessive would result in a 100% chance that every offspring is heterozygous. The cross result would look like this:
Rr Rr Rr Rr
Edit: reread and saw sex-linked, sorry.
The cross would look like this.
Xr Y
XR XRXr XRY
XR XRXr XRY
The result would be 50% red-eyed female and 50% red-eyed male