X:y:z=2:3:5且x+2y=10求X+y+2z的值

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X:y:z=2:3:5且x+2y=10求X+y+2z的值

X:y:z=2:3:5且x+2y=10求X+y+2z的值
X:y:z=2:3:5且x+2y=10求X+y+2z的值

X:y:z=2:3:5且x+2y=10求X+y+2z的值
令x=2k,y=3k,z=5k
x+2y
=2k+2*3k
=2k+6k
=8k
x+2y=10
8k=10
4k=5
k=5/4
所以
x=2k=2*5/4=10/4
y=3k=3*5/4=15/4
z=5k=5*5/4=25/4
x+y+2z
=10/4+15/4+2*25/4
=10/4+15/4+50/4
=(10+15+50)/4
=75/4

x+2y=10
2/3y+2y=10
8/3y=10
y=15/4
x=15/4x2/3=5/2
z=15/4x5/3=25/4
x+y+2z=5/2+15/4+50/4=75/4

x=10÷(2+2X3)X2=5/2
y=10÷(2+2X3)X3=15/4
z=10÷(2+2X3)X5=25/4
X+y+2z
=5/2+15/4+2X25/4
=10/4+15/4+50/4
=75/4
=18.75

几年级的

令x=2k(k≠0),x+2y=10等价于8k=10解出k,代入x+y+2z

令x=2t,y=3t,z=5t,故：x+2y=10代入得2t+6t=10 得到t=5/4
故：x+y+2z=2t+3t+10t=15t=15*5/4=75/4

75/4,x=5/2,y=15/4,z=25/4

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