是否存在整数K,使关于X,Y的二元一次方程组3X+4Y=2K+4 x+3Y=8-K的解中X和Y同号,请求出K的值?
人气:279 ℃ 时间:2020-01-31 17:39:14
解答
由 3x+4y=2k+4 ,x+3y=8-k ,解得 x=[3(2k+4)-4(8-k)]/(3*3-1*4)=2k-4 ,y=4-k ,
由于 x、y 同号,所以 x*y>0 ,
即 (2k-4)(4-k)>0 ,
解得 2
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