Question

determinati numerele naturale x si y astfel incat:x supra y este fractie echivalenta cu 2 supra 5 si x+y=38​

Answer 1

Explicație pas cu pas:

$\dfrac{x}{y} = \dfrac{2}{5} \iff \dfrac{x}{2} = \dfrac{y}{5}$

$\dfrac{x}{2} = \dfrac{y}{5} = \dfrac{x + y}{2 + 5} = \dfrac{38}{7}$

$\dfrac{x}{2} = \dfrac{38}{7} \iff x = \dfrac{2 \cdot 38}{7} \implies x = \dfrac{76}{7}$

$\dfrac{y}{5} = \dfrac{38}{7} \iff y = \dfrac{5 \cdot 38}{7} \implies y = \dfrac{190}{7}$