x-2y=m→x=m+2y
2x+3y=m+4→2(m+2y)+3y=m+4→7y+2m=m+4→7y=4-m→y=(4-m)/7
∴x=m+2(4-m)/7=(7m+8-2m)/7=(8+5m)/7
∴3x+y≤0→3(8+5m)/7+(4-m)/7≤0→28+14m≤0→14m≤-28→m≤-28/14=-2
x+y>0→(8+5m)/7+(4-m)/7>0→12+4m>0→4m>-12→m>-3
即:-3<m≤-2
∴m的整数解为:
m=-2
(2)_(1)*2, 7y=4_m,