Răspuns:
rapoarte:
Explicație pas cu pas:
[tex]\frac{x}{y} = \frac{5}{7} \iff \frac{x}{5} = \frac{y}{7} = k \\ x = 5k \\ y = 7k[/tex]
a)
[tex]\frac{y - x}{2x} = \frac{7k - 5k}{10k} = \frac{2k}{10k} = \bf \frac{1}{5} \\ [/tex]
b)
[tex]\frac{x}{y - x} = \frac{5k}{7k - 5k} = \frac{5k}{2k} = \bf \frac{5}{2} \\ [/tex]
c)
[tex]\frac{2x}{x + y} = \frac{10k}{5k + 7k} = \frac{10k}{12k} = \bf \frac{5}{6} \\ [/tex]
d)
[tex]\frac{2y}{x + y} = \frac{14k}{5k + 7k} = \frac{14k}{12k} = \bf \frac{7}{6} \\ [/tex]
