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User:Temperal/Introductory Proportion

< User:Temperal
Revision as of 16:23, 20 September 2007 by Valentin Vornicu (talk | contribs) (→‎Problem)

Problem

Suppose $\frac{1}{20}$ 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

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

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