1959 AHSME Problems/Problem 17
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Problem 17
If , where
and
are constants, and if
when
, and
when
, then
equals:
Solution
Plugging in the x and y values, we obtain the following system of equations:
We can then subtract the equations to obtain the equation
, which works out to
.
Plugging that in to the original system of equations:
It is easy to see that
, and that
is (E) 11.