Ответ: x=2 ; y=-4

[tex]\left \{ {{4x + y = 4 \: \:| \times 3} \atop {5x - 3y = 22 \: \: \: \: \: \: \: \: \: \: }} \right. \\ \\ \left \{ {{12x + 3y = 12} \atop {5x - 3y = 22}} \right. + \\ 17x = 34 \\ x = 2 \\ \\ 4x + y = 4 \\ 4 \times 2 + y = 4 \\ 8 + y = 4 \\ y = - 4[/tex]