1978 AHSME Problems/Problem 3
Problem 3
For all non-zero numbers and
such that
,
equals
Solution 1
Using substitution, we can substitute y into the equation in the first parentheses.
Therefore, we'll get
Because , we can also see that
. Using substitution again, we can substitute x into the second equation getting
Simplifying, we get . Multiplying, we get
~awin