方程组3X+2Y=K+1 4X+3Y=K-1的解X,Y是同号,求整数K的值
人气:471 ℃ 时间:2019-10-10 01:16:54
解答
方程组3X+2Y=K+1 4X+3Y=K-1的解X,Y是同号,求整数K的值
3X+2Y=K+1
4X+3Y=K-1
解方程组得
X=K+5
Y=-K-7
由题意
若K+5>0,则-K-7>0
K>-5,K<-7,无解;
若K+5<0,则-K-7<0
K<-5,K>-7,
又因为K为整数,因此,K=-6
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