①已知方程组{3x+y=1 x-2y=m的解满足x为正数,求m的取值范围 ②若满足x>y,求m的取值范围
问题描述:
①已知方程组{3x+y=1 x-2y=m的解满足x为正数,求m的取值范围 ②若满足x>y,求m的取值范围
答
3x+y=1 x-2y=m
x=(2+m)/7 y=(1-3m)/7
x=(2+m)/7>0
m>-2
(2+m)/7>(1-3m)/7
m>-1/4