Answer:
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Rewrite the equation by splitting the numerator on the left side.
u
uv
-
v
uv
=
1
10
→
1
v
-
1
u
=
1
10
Take
1
u
to the other side and reverse its sign:
1
v
=
1
10
+
1
u
Set a common denominator on the right side:
1
v
=
u + 10
10u
Finally take the reciprocal of both sides:
v =
10u
u + 10
.