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[tex]\displaystyle \\ \begin{cases} x+y = 54 \\ x-5y = 0~~~~~| \cdot (-1) \end{cases} \\ \\ \\ \begin{cases} x+y = 54 \\ -x+5y = 0 \end{cases} \\ \texttt{-------------- gather equations} \\ .~~/~~~~~6y = 54 \\ \\ y = \frac{54}{6} = \boxed{9} \\ \\ x = 54 - y = 54 - 9 = \boxed{45} \\ \\ \texttt{Problem solution: } \boxed{x = 45 ~~ and ~~ y = 9 }[/tex]



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