Resposta :
ESCALONAMENTO
x+y+z= 6
2x+3y+z= 11
5x+2y+3z=18
-2 L1 + L2
-2x - 2y -2z = -12
2x + 3y + z = 11
y - z = -1
-5 L1 + L3
-5x - 5y - 5z = -30
5x + 2y + 3z = 18
-3y - 2z = -12
portanto temos
x+y+z= 6
y - z = -1
-3y - 2z = -12
3L2 + L3
3y - 3z = -3
-3y - 2z = -12
-5z = -15
z = 3
y - z = -1
y = -1 + z
y = 2
x = 6 - y - z
x = 6 - 2 - 3
x = 1
S = { 1,2,3 }
x+y+z= 6
2x+3y+z= 11
5x+2y+3z=18
-2 L1 + L2
-2x - 2y -2z = -12
2x + 3y + z = 11
y - z = -1
-5 L1 + L3
-5x - 5y - 5z = -30
5x + 2y + 3z = 18
-3y - 2z = -12
portanto temos
x+y+z= 6
y - z = -1
-3y - 2z = -12
3L2 + L3
3y - 3z = -3
-3y - 2z = -12
-5z = -15
z = 3
y - z = -1
y = -1 + z
y = 2
x = 6 - y - z
x = 6 - 2 - 3
x = 1
S = { 1,2,3 }