Question

Rezolvati ecuatia xy + y = 10x + 2027 in multimea numerelor naturale. VA ROG MULT E URGENT!!!

Answer 1

xy+y=10x+2027

xy-10x+y=2027;  ( -10 si in stanga si in dreapta)

x(y-10)+(y-10)=2027-10

(y-10)(x+1)=2017

2017 e prim

(x+1)(y-10)=1·2017

x+1=1; x=0 si y-10=2017; y=2027

(x+1)(y-10)=2017·1

X+1=2017; x=2016 si y-10=1; y=11

(x,y)={(0,2027), (2016,11)}