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x - y = 2
2y = 4
y = 4/2
y = 2
x + y = 6
x + 2 = 6
x = 6 - 2
x = 4
x = 6 - y
x - y = 2
(6 - y) - y = 2
6 - y - y = 2
-y - y = 2 - 6
-2y = -4
y = 2
x + y = 6
x + 2 = 6
x = 6 - 2
x = 4
HP = {x, y} = {4, 2}.