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Verified answer
Y = -2x + 5y = x² + 3x - 9
-2x + 5 = x² + 3x - 9
0 = x² + 5x - 14
=> (x + 7)(x - 2) = 0
=> x = -7 atau x = 2
y = -2x + 5
x = -7 => y = -2(-7) + 5 = 14 + 5 = 19 => (-7, 19)
x = 2 => y = -2(2) + 5 = -4 + 5 = 1 => (2, 1)
HP = {(-7, 19), (2, 1)}