Odpowiedź:
[tex]+\begin{cases}\frac{1}{x}+\frac{3}{y}=5,5\\\frac{2}{x}-\frac{3}{y}=9,5\end{cases}\\\\--------\\\frac{3}{x}=15\\\\15x=3\ \ /:15\\\\x=\frac{3}{15}\\\\x=\frac{1}{5}\\\\\\Podstawiamy\ \ x\ \ do\ \ pierwszego\ \ r\'ownania\\\\\\\dfrac{1}{\frac{1}{5}}+\dfrac{3}{y}=5,5\\\\1\cdot5+\frac{3}{y}=5,5\\\\5+\frac{3}{y}=5,5\\\\\frac{3}{y}=5,5-5\\\\\frac{3}{y}=0,5\\\\0,5y=3\ \ /:0,5\\\\y=3:0,5\\\\y=3:\frac{1}{2}\\\\y=3\cdot2\\\\y=6\\\\\\\begin{cases}x=\frac{1}{5}\\y=6\end{cases}[/tex]
