Question

Daca x supra y = 2 supra 3, aflati 3x+2y supra 2x+3y .

Answer 1

$\frac{x}{y} = \frac{2}{3} , x= \frac{2y}{3} \\ \frac{3x+2y}{2x+3y} = \frac{ 2y+2y}{ \frac{4}{3} y+3y}= \frac{4y}{y( \frac{4}{3}+3) } = \frac{ 4}{ \frac{13}{3}} = 4 x \frac{3}{13} =\frac{12}{13}$

Answer 2

$\frac{x}{y} = \frac{2}{3} <=>x= \frac{2y}{3} <=> \frac{ \frac{2y}{3}*3+2y }{ \frac{2y}{3} *2+3y} = \frac{2y+2y}{ \frac{4y}{3}+3y } = \frac{4y}{ \frac{13y}{3} } = \frac{12y}{13y} = \frac{12}{13}$
sper ca te-am ajutat!