Question

Fie proportia : x supra y = 6 supra 5
a) x-y supra y =?
b) Daca x=2 , atunci y= .... ;
c) (x supra y) totul la puterea -1 = ...

Answer 1

a)x-y/y=6-5/5=6-1=5     sau     (x-y)/y=(6-5)/5=1/5
b)x=2
2/y=6/5
y=2*5/6=10/6=5/3
c)(x/y)^-1=1/(x/y)^1=1:x/y=1*y/x=y/x=5/6

Answer 2

$\frac{x}{y} = \frac{6}{5} =\ \textgreater \ y= \frac{5x}{6} \\ \frac{x-y}{y}= \frac{x- \frac{5x}{6} }{y}= \frac{6}{5x}( \frac{6x-5x}{6})= \frac{6x-5x}{5x} = \frac{x}{5x} = \frac{1}{5} \\ x=2, atunci : \frac{2}{y}= \frac{6}{5}=\ \textgreater \ y= \frac{5*2}{6}=\ \textgreater \ y= \frac{10}{6} =\ \textgreater \ y= \frac{5}{3} \\ (\frac{x}{y} ) ^{-1} = (\frac{6}{5} )^{-1}= \frac{5}{6}$