Question

已知方程组｛y-2X=M,2Y+3X=M+1的解X、Y满足2X+Y ≥0,求M的取值范围.速求答案.

Answer 1

y-2x=m (1)

2y+3x=m+1 (2)

(2)×4-(1)

7y+14x=4m+4-m

14x+7y=3m+4

2x+y≥0

乘7

14x+7y≥0

所以3m+4≥0

m≥-4/3