3r +5s +t = 0
3r -s -3t = 4
-3r -4s -4t = -19

-3r -5s -t = 0
3r -s -3t = 4
-3r -4s -4t = -19

0r -6s -4t = 4
3r +4s +4t = 19

3r -2s +0t = 23



3r +5s +t = 0
3r -s -3t = 4
-3r -4s -4t = -19

3r +5s +t = 0
0r -5s -7t = -15

3r +0s -6t = -15



3r -2s +0t = 23
3r +0s -6t = -15

3r -2s +0t = 23
-3r +0s +6t = 15

-2s +6t = 38



0r -2s +6t = 38
3r +0s -6t = -15
3r -2s +0t = 23



-15(0r -2s +6t = 38)
38(3r +0s -6t = -15)

0r +30s -90t = -570
114r +0s -228t = -570

0r -30s +90t = 570
114r +0s -228t = -570

114r -30s -138t = 0



3r +5s +t = 0
114r -30s -138t = 0

18r +30s +6t = 0
114r -30s -138t = 0

132r +0s -132t = 0

1r +0s -1t = 0



3r -s -3t = 4
1r +0s -1t = 0

3r -s -3t = 4
-3(1r +0s -1t = 0)

3r -s -3t = 4
-3r +0s +3t = 0

-s = 4

s = -4



-2s +6t = 38
2s = -8

0s +6t = 30

6t = 30

t = 5



3r +5s +t = 0
0r +1s +0t = -4

3r +5s +t = 0
-5(0r +1s +0t = -4)

3r +5s +t = 0
0r -5s +0t = 20

3r +t = 20



3r +t = 20
0r +t = 5

3r +t = 20
-1(0r +t = 5)

3r +t = 20
0r -t = -5

3r = 15

r = 5


3(5) +5(-4) +(5) = 0
15 -20 +5 = 0



3(5) -(-4) -3(5) = 4
15 +4 -15 = 4



-3(5) -4(-4) -4(5) = -19
-15 +16 -20 = -19



r = 5
s = -4
t = 5



{(5,-4,5)}