Daca 5x=6y ' atunci 2x/3y este legal cu


Răspuns :

x = 6y/5
2x/3y = 2 * 6y/5 : 3y = 12y/5 * 1/3y = 4/5
[tex]5x=6y[/tex]⇒[tex] \frac{x}{ \frac{1}{5} }= \frac{y}{ \frac{1}{6} }=k [/tex]⇒
[tex]x= \frac{k}{5},y= \frac{k}{6} [/tex]
[tex] \frac{2x}{3y}= \frac{2* \frac{k}{5} }{3* \frac{k}{6} }= \frac{2k}{5}* \frac{2}{k} [/tex]
K cu K se simplifica si ne va da [tex] \frac{4}{5} [/tex]