Question

daca x/4=y/9 si 5x-y=88,determinati numerele x si y​

Answer 1

$\it 5x-y=88\ \ \ \ \ (1)\\ \\ \\ \dfrac{^{5)}x}{\ 4}= \dfrac{y}{9} \Rightarrow \dfrac{5x}{20}= \dfrac{y}{9}= \dfrac{5x-y}{20-9}\ \stackrel{(1)}{=}\ \dfrac{88}{11}=8\ \ \ \ \ \ (2)\\ \\ \\ (2) \Rightarrow\ \begin{cases}\ \it \dfrac{x}{4}=8 \Rightarrow x=4\cdot8 \Rightarrow x=32\\ \\ \it \dfrac{y}{9}=8 \Rightarrow y=9\cdot8 \Rightarrow y=72\end{cases}$