penyelesaian dari sistem persamaan y = 2x2-4x -3 dan y =-x+6

System of Quadratic and Linear Equations.

2x² - 4x - 3 = -x + 6
2x² - 4x - 3 + x - 6 = 0
2x² - 3x - 9 = 0
(2x² + 3x) + (-6x - 9) = 0
x(2x + 3) - 3(2x + 3) = 0
(x - 3)(2x + 3) = 0
x = 3 or x = -3/2

For x = 3, y = -3 + 6 = 3
For x = -3/2, y = 3/2 + 6 = 15/2
HP = {(-3/2, 15/2), (3, 3)}
The answer in problem doesn't exist.