3X+Y=K+1① X+2Y=3 ② 用①*2-②得: 5X=2K-1 X=(2K-1)/5 代入②得: [(2K-1)/5]+2Y=3 2Y=3-[(2K-1)/5]=(16-2K)/5 Y=(8-K)/5 X-Y =[(2K-1)/5]-[(8-K)/5] =(3K-9)/5 当K=2时:X-Y=-3/5 当K=4时:X-Y=3/5 所以X-Y的范围是:-3/5