用含y的式子表示x,得x= 6-y y+1 .分离整式得x=-1+ 7 y+1 .∵x整数,∴ 7 y+1 为整数.∴y+1为7的约数,∴y+1=±1,±7.得y=0,-2,6,-8.∴x=6,-8,0,-2.∴ x1=0 y1=6 x2=6 y2=0 x3=-2 y3=-8 x4=-8 y4=-2 .