2001 AMC 10 Problems/Problem 10
Problem
If ,
, and
are positive with
,
, and
, then
is
Solution
Look at the first two equations in the problem.
and
.
We can say that .
Given , we can substitute
for
and find
.
We can replace y into the first equation.
.
Since we know every variable's value, we can substitute it in for .