Verified answer

[tex]\displaystyle\bf\\\left \{ {{8p-5q=-11 \ |\cdot 5} \atop {5p-4q=-6} \ |\cdot(-8)} \right. \\\\\\+\left \{ {{40p-25q=-55} \atop {-40p+32q=48}} \right.\\ ------------\\7q=-7\\\\q=-1\\\\5p=4q-6=4\cdot (-1)-6=-4-6=-10\\\\p=-10:5=-2\\\\Otvet \ : \ (-2 \ ; \ -1)[/tex]