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

Latest revision as of 17:21, 24 September 2007

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-==Problem==
+#REDIRECT [[Proportion/Introductory]]
-Suppose <math>\frac{1}{20}</math> is either '''x''' or '''y''' in the following system:
-<cmath>\begin{cases}
-xy=\frac{1}{k}\\
-x=ky
-\end{cases} </cmath>
-Find the possible values of '''k''' in terms of x and y.
-==Solution==
-{{incomplete|solution}}
-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>. now we get <math>k=\frac{20} {y}</math> and <math>\frac{1} {20y}</math>. If <math>y=\frac{1} {20}</math>,
-then we solve again, we get <math>k=20x</math> and <math>\frac{20} {x}</math>