Răspuns:
[tex]\frac{5x+3y}{2x+3y}[/tex] = [tex]\frac{58}{34}[/tex]
34 ( 5x + 3y ) = 58 ( 2x + 3y )
170x + 102y = 116x + 174y
54x = 72y
x = 72y : 54
[tex]\frac{x}{y}[/tex] = [tex]\frac{72y}{54}[/tex] : y = [tex]\frac{72y}{54y}[/tex] = [tex]\frac{72}{54}[/tex] = [tex]\frac{36}{27}[/tex] = [tex]\frac{4}{3}[/tex]
