Question

若方程组3x+2y=m+1 4x+3y=m-1的解满足x＞y,试求m的取值范围

Answer 1

3X+2Y=m+1.(1)

4X+3Y=m-1 .(2)

(2)-(1):

x+y=-2.(3)

(3)代入(1)

3X+2Y=x+2(x+y)=x-4=m+1

x=5+m

y=-7-m

x>y

5+m>-7-m

m>-6