∵|x|=3,|y|=5,∴ⅹ=±3,y=±5.∴x+y=±2或±8.∴|x+y|=2或8.
|x|=3,x=±3|y|=5,y=±5x=3,y=±5, x-y=-2或8|x-y|=2或8x=-3,y=±5x-y=-8或2|x-y|=2或8综上所述|x-y|=2或8