题目内容

已知
xy
x+y
=1
yz
y+z
=2
zx
z+x
=3
,则x的值为______.
已知
xy
x+y
=1,
yz
y+z
=2,
xz
z+x
=3,则:
x+y
xy
=1,即
1
y
+
1
x
=1;(1)
y+z
yz
=
1
2
,即
1
y
+
1
z
=
1
2
;(2)
x+z
xz
=
1
3
,即
1
x
+
1
z
=
1
3
.(3)
(2)-(3)得到:
1
y
-
1
x
=
1
6
(4)
(1)-(4)得到:
2
x
=
5
6

解得:x=
12
5

故答案为:
12
5
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