Question

Pilne!! układy równań
{3x + y = -6
{x + 3y = -10


{x - 2y = -14
{2x - y = -10


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

Answer 1

{3x + y = -6
{x + 3y = -10 

{3x + y = -6  / * (-3)
{x + 3y = -10 

{-9x - 3y = 18
  {x + 3y = -10 
---------------------
-8x = 8 / :(-8)
X = -1

3x+y=-6
3*(-1) +y=-6
-3 +y = -6
Y= -6 +3
Y= -3
{X=-1
{Y=-3

{x - 2y = -14
{2x - y = -10

{x - 2y = -14. /(-2)
{2x - y = -10  

{-2x +4y = 28
{2x - y = -10
----------------------
3y = 18 / :3
y = 6

x-2y=-14
x- 2 * 6 = -14
X- 12 = -14
X= -14 + 12
X = -2
{x = -2
{Y =6



{-3x + 2y = -1 
{2x - 3y = 1

{-3x + 2y = -1 / * 2
{2x - 3y = 1.   / *3

{-6x + 4y = -2
  { 6x -9y = 3
----------------------
          -5y = 1 / (-5)
            Y =  -1/5

-3x + 2y = -1 
-3x + (2 × -1/5) = -1
-3x + (2/1 ×  -1/5) = -1
-3x - 2/5 = -1 /: (-1)
3x +2/5 = 1
3x = 1 - 2/5
3x = 3/5    /:3
x = 3/5 : 3/1
x= 3/5 * 1/3
x= 3/15
X= 1/5


{x = 1/5
{Y =  - 1/5
          

Answer 2

Rozwiązanie w załączniku.