> 数学 >
已知 
xy
x+y
=2
xz
x+z
=3
yz
y+z
=4
,求7x+5y-2z的值.
人气:435 ℃ 时间:2019-12-13 18:05:59
解答
xy
x+y
=2
xz
x+z
=3
yz
y+z
=4

1
x
+
1
y
=
1
2
1
x
+
1
z
=
1
3
1
y
+
1
z
=
1
4

解得:
1
x
=
7
24
1
y
=
5
24
1
z
=
1
24

∴x=
24
7
,y=
24
5
,z=24,
∴原式=7×
24
7
+5×
24
5
-2×24
=24+24-48
=0.
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