数学题,要有过程哦

若x+y+z=30,3x+y-z=50,且x,y,z都是非负数,求m=5x+4y+2z的取值范围
2025-12-14 21:15:09
推荐回答(1个)
回答1:

由前两个式子,把y,z用x表示得
y=40-2x
z=x-10
所以 10 <= x <= 20

M=3( X+Y+Z)+(3X+Y-Z)-X
=90+50-X
=140-x
所以 120 <= M <= 130