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Daca [tex] \frac{2x+5y}{x+y} =4,5[/tex] , afla:
a)) [tex] \frac{x}{y} [/tex] =?
b) [tex] \frac{5x}{2y}=? [/tex]
c) [tex] \frac{ x^{2} + y^{2} }{ y^{2} } [/tex]


Răspuns :

4x + 10y = 9x + 9y 
y =5x 
a.  x /y =1/5 
b. 5x /2y = 5x / 2·5x =  1 /2 
c   ( x² + 25x² ) / 25x² = 26x² /25x² = 26/25
(2x+5y):(x+y)=45:10=9:2
2x(2x+5y)=9x(x+y)
4x+10y=9x+9y
10y-9y=9x-4x
y=5x
a) x:y=1:5=0,2
b) 5x:2y=5x:10x=1:2=0,5
c) (x^2+y^2):y^2=(x^2+25x^2):25x^2=26x^2:25x^2=26:25=1,04