已知方程组y-2x=m和2y+3x=m+1的解x,y满足2x+y≥0,求m的取值范围

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已知方程组y-2x=m和2y+3x=m+1的解x,y满足2x+y≥0,求m的取值范围
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已知方程组y-2x=m和2y+3x=m+1的解x,y满足2x+y≥0,求m的取值范围
已知方程组y-2x=m和2y+3x=m+1的解x,y满足2x+y≥0,求m的取值范围

已知方程组y-2x=m和2y+3x=m+1的解x,y满足2x+y≥0,求m的取值范围
Y-2X=M ----(1)
2Y+3X=M+1 ----(2)
(2)*4-(1):
得8Y+12X-Y+2X=4M+4-M
7Y+14X=3M+4
Y+2X=(3M+4)/7
2X+Y>=0
(3M+4)/7>=0
M>=-4/3

Y-2X=M ----(1)
2Y+3X=M+1 ----(2)
(2)*4-(1):
得8Y+12X-Y+2X=4M+4-M
7Y+14X=3M+4
Y+2X=(3M+4)/7
2X+Y>=0
(3M+4)/7>=0
M>=-4/3

是是答案是的撒的

2x+y=a*m+b*(m+1),待定系数法求出a,b然后用m表示出来2x+y,就可以求出m范围了

Y-2X=M ----(1)
2Y+3X=M+1 ----(2)
(2)*4-(1):
得8Y+12X-Y+2X=4M+4-M
7Y+14X=3M+4
Y+2X=(3M+4)/7
2X+Y>=0
(3M+4)/7>=0
M>=-4/3