问题 填空题
已知:
a
3
=
b
5
=
c
7
,且3a+2b-4c=9,则
1
a
+
1
b
+
1
c
=______.
答案

a
3
=
b
5
=
c
7
=
t
1
,则

a=3t,b=5t,c=7t,

∵3a+2b-4c=9,

∴9t+10t-28t=9,

解得t=-1,

a=-3,b=-5,c=-7,

1
a
+
1
b
+
1
c

=-(

1
3
+
1
5
+
1
7
),

=-

71
105

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