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
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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
