Verified answer

[tex]\displaystyle\bf\\\left \{ {{2x - 7y = - 17} \atop {5x + y = 13 \: \: | \times 7 }} \right. \\ \displaystyle\bf\\ + \left \{ {{2x - 7y = - 17} \atop {35x + 7y = 91}} \right. \\ \\35x + 2x = 91 - 17 \\ 37x = 74 \\ x = 74 \div 37 \\ x = 2 \\ \\ 5 \times 2 + y = 13 \\ 10 + y = 13 \\ y = 13 - 1 0\\ y = 3[/tex]

Ответ: ( 2 ; 3 )