Stie cineva cum se rezolva sistemul asta de ecuatii?

/
\ 3/x + 4/y = 5
<
/ 2/x - 3/y = -3
\


Răspuns :

[tex]\frac{3}{x}[/tex] + [tex]\frac{4}{y}[/tex]=5

[tex]\frac{2}{x}[/tex] - [tex]\frac{3}{y}[/tex]=-3

3y+4x=5xy

2y-3x=-3xy

6y+8x=10xy

-6y+9x=9xy

Adunam cele doua ecuatii si avem:

/17x=19xy

Impartim prin x=> y=17/19=> 51/19+4x=-5x

9x=51/19=>x=51/171