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User:Temperal/Introductory Proportion

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Problem

Suppose $\displaystyle \frac{1}{20}$ is either x or y in the following system:

$\begin{cases} xy=\frac{1}{k}\\ x=ky \end{cases}$

Find the possible values of k.

Solution

If $x=\frac{1} {20}$ , then $\displaystyle \frac{y} {20} = \frac{1} {k}$ .

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