Question

Multumesc anticipat!

Answer 1

Răspuns : a=-1  &  b=2

Explicație pas cu pas:

6a-b=2(ab-2)

6a-b= 2ab-4

-b-2ab= -4-6a

-b(1+2a)= -(4+6a)

b(1+2a)= 4+6a

b = (4+6a)/(1+2a)

b ∈ IN

   ↓

1+2a | 4+6a

1+2a | 1+2a   |·3

1+2a | 4+6a

1+2a | 3+6a

__________  -

1+2a | 1 → 1+2a ∈ D₁ = {-1,1}

I : 1+2a = -1 → a = -1  

II : 1+2a = 1 → a = 0

     a ∈ [-1;0)    ⇒ a = -1

                 ↓

-6-b = -2b - 4

   b = 2