Question

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

Answer 1

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

Answer 2

(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