Question

use the gaussian elimination 3x-2y=-27 x+3y=13

Answer 1

Hello !!

We need find the solution of this linear sistem with gaussian elimination.

3x - 2y = -27 (-3)

x + 3y = 13 (-2)

_______________

-9x + 6y = 81

-2x - 6y = -26

_____________

-11x = 55

x = 55/(-11)

x = -5

______________

x + 3y = 13

-5 + 3y = 13

3y = 13 + 5

3y = 18

y = 18/3

y = 6

Final result : the solution for this linear sistem is -5 and 6.

I hope I have collaborated !

Answer 2

$3x - 2y = - 27 \\ \: \: x + 3y = 13$

Now,

$3x - 2y = - 27 \\ 3x + 9y = 39 \\ = > - 11y = -66 \\ = > \: \: \: \: \: \: \: \: y = 6$

Therefore,

$x = 13 - 3y \\ \\ x = 13 - 3(6) \\ \\ x = 13 - 18 \\ \\ x = -5$

Hence,

$\huge \boxed{x = -5} \\ \\ \huge \boxed{y = 6 }$