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Daca [tex] \frac{x+y}{x-y} = \frac{7}{2} [/tex] atunci x pe y = ?


Răspuns :

[tex] \frac{x+y}{x-y} = \frac{7}2 } \\ 2(x+y)=7(x-y) \\ 2x+2y=7x-7y \\ 2x-7x=-7y-2y \\ -5x=-9y \\ 5x=9y \\ x= \frac{9y}{5} \\ \frac{x}{y} = \frac{\frac{9y}{5} }{y} = \frac{9y}{5} * \frac{1}{y} = \frac{9}{5} [/tex]