Question

Resolva o Sistema
 [x- 2y-z= 3
[2x-3y-3z= 5
[3x- y- 5z= 10

GENTE PFV AJUDEM

Answer 1

{x - 2y - z = 3
{2x - 3y - 3z = 5
{3x - y - 5z = 10
===============
x = 3 + 2y + z

2x - 3y - 3z = 5
2.(3 + 2y + z) - 3y - 3z = 5
6 + 4y + 2z - 3y - 3z = 5
4y - 3y + 2z - 3z = 5 - 6
{y - z = -1

3x - y - 5z = 10
3.(3 + 2y + z) - y - 5z = 10
9 + 6y + 3z - y - 5z = 10
6y - y + 3z - 5z = 10 - 9
{5y - 2z = 1


{y - z = -1 . (-2)
{5y - 2z = 1
-----------------
{-2y + 2z = 2
{5y + 2z = 1
============
3y = 3
y = 3/3
y = 1

5y + 2z = 1
5.1 + 2z = 1
5 + 2z = 1
2z = 1 - 5
2z = -4
z = -4/2
z = -2


x = 3 + 2y + z
x = 3 + 2.1 - 2
x = 3 + 2 - 2
x = 3



S={ 3, 1, -2 }