Difference between revisions of "User:Temperal/Introductory Proportion"

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==Solution==
 
==Solution==
 
{{incomplete|solution}}
 
{{incomplete|solution}}
If <math>x=\frac{1} {20}</math>, then <math> \frac{y} {20} = \frac{1} {k}</math>.
+
If <math>x=\frac{1} {20}</math>, then <math> \frac{y} {20} = \frac{1} {k}</math> so <math>ky=20</math> or <math>ky=\frac{1} {20}</math>.

Revision as of 12:23, 22 September 2007

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 $\frac{y} {20} = \frac{1} {k}$ so $ky=20$ or $ky=\frac{1} {20}$.