Question

Rezolvați sistemele:
a) 3(3x-2y)+2(2x-3y)=1
2(3x-2y)+3(2x-3y)=-1

Answer 1

Răspuns:

(x , y) = (1 , 1)

Explicație pas cu pas:

{3(3x - 2y) + 2(2x - 3y) = 1

{2(3x - 2y) + 3(2x - 3y) = - 1

{x = 1/13 + 12/13y

{2(3x - 2y) + 3(2x - 3y) = - 1

______________________

2[3(1/13 + 12/13y) - 2y] + 3[2(1/13 + 12/13y) - 3y] = - 1

2(3/13 + 10/13y ) + 3(2/13 - 15/13y) = - 1

6/13 + 20/13y + 6/13 - 45/13y = - 1

12/13 - 25/13y = - 1

12 - 25y = - 13

- 25y = - 13 - 12

- 25y = - 25

y = 25 : 25 = 1

x = 1/13 + 12/13y = 1/13 + 12/13 × 1 = 1/13 + 12/13 = 1

{x = 1

{y = 1