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Given:

2y = x + 2

x - 3y = -5

∴ y = x/2 + 1

∴ x - 3(x/2 + 1) = -5

∴ x - 3x/2 - 1 = - 5

∴ -x/2 = -4

∴ x = 2

∴ 2y = 2 + 2

∴ y = 2

∴ {x, y} = {2, 2}

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