Let:
[tex]\begin{gathered} 65x-7y=371_{\text{ }}(1) \\ -11x+7y=7_{\text{ }}(2) \end{gathered}[/tex]Using elimination method:
[tex]\begin{gathered} (1)+(2) \\ 65x-11x-7y+7y=371+7 \\ 54x=378 \\ x=\frac{378}{54} \\ x=7 \end{gathered}[/tex]replace the value of x into (2):
[tex]\begin{gathered} -11(7)+7y=7 \\ -77+7y=7 \\ 7y=84 \\ y=\frac{84}{7} \\ y=12 \end{gathered}[/tex]Answer:
[tex](7,12)[/tex]