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當x=1時,3×1+y=9,解得y=6,當x=2時,3×2+y=9,解得y=3,當x=3時,3×3+y=9,解得y=0(不符合題意,舍去),所以,方程的正整數解是x=1y=6,x=2y=3.故答案為:x=1y=6,x=2y=3.
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