2xy+x+y=83 4xy+2x+2y=166 (2x+1)(2y+1)=167=167*1或(-167)*(-1) 由于x,y均为整数,故"2x+1","2y+1"也均为整数,所以：当2x+1=167,2y+1=1或2x+1=1,2y+1=167时：x+y=83; 当2x+1=-167,2y+1=-1或2x+1=-1,2y+1=-167时：x+y...