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Daca x/y=1/5 si z/y=2/3, aflati z+y/x.
HELP ME...


Răspuns :

z = 2y /3 = ( 2· 5x  )  /3= 10x / 3
y=5x
( z + y) /x= ( 10 x /3  + 5x ) / x = [  10/3 +5 ]· x / x = 10/3 +5 = 25 /3
[tex] \frac{x}{y}= \frac{1}{5} =\ \textgreater \ x=\frac{y}{5}[/tex]
[tex] \frac{z}{y}= \frac{2}{3} =\ \textgreater \ z=\frac{2y}{3}[/tex]
[tex] \frac{z+y}{x}= \frac{ \frac{2y}{3} +y}{ \frac{y}{5}}=\frac{ \frac{2y+3y}{3}}{ \frac{y}{5}}= \frac{5y*5}{3*y}[/tex]
[tex]=\frac{5y*5}{3*y}=\frac{25}{3}[/tex]