[tex] \frac{ \frac{2}{3} }{x} = \frac{ \frac{2}{5} }{y} = \frac{ \frac{3}{5} }{z} \\ \frac{2x}{3} = \frac{2y}{5} = \frac{3z}{5} \\ 10y = 15z \\ 10x = 9z \\ \\ 3x + 10y + 15z = 1[/tex]
amplificam fiecare termen din ambii membri cu 10
[tex]30x + 100y + 150z = 10 \\ 10x = 9z = > 30x = 27z \\ inlocuim \\ 27z + 150z + 150z = 10 \\ 327z = 10 \\ z = 10 \div 327 \\ z = 0.03 \\ \\ 10x = 9z = > x = \frac{9z}{10} = 0.027 \\ \\ 10y = 15z = > y = \frac{15z}{10} = 0.045[/tex]
Sper sa fie corect si sa te ajute !
