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3x + z = 22
___________
3x - 6y = -30
3x + z = 22
___________ _
-6y - z = -52
2y + 5z = 64
___________
-6y - z = -52
6y + 15z = 192
___________ +
14z = 140
z = 10
3x + z = 22
3x + 10 = 22
3x = 12
x = 4
x - 2y = -10
4 - 2y = -10
-2y = -14
y = 7
HP = {x,y,z} = {4, 7, 10}