Question

Aflati numerele intregi x si y pentru care xy+x-6y=14

Answer 1

x(y+1)-6y-6+6=14\\ x(y+1)-6(y+1)=8\\ (x-6)(y+1)=8\\ x-6\\{-8,-4,-2,-1,1,2,4,8\}\\ x\\{-2,2,4,5,7,8,10,14\}\\ y+1\{\{-1,-2,-4,-8,8,4,2,1\}\\ y\\{-2,-3,-5,-9,7,3,1,0\}\\ (-2,-2);(2,-3),(4,-5);(5,-9);(7,7);(8,3);(10,1);(14,0)