Answer:
2nd option
Explanation:
Given the equations
y = 2x² - 6x + 3 → (1)
y = x - 2 → (2)
Substitute y = 2x² - 6x + 3 into (2)
2x² - 6x + 3 = x - 2 ( subtract x - 2 from both sides )
2x² - 7x + 5 = 0 ← in standard form
(2x - 5)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 2.5
Substitute these values into (2) for corresponding values of y
x = 1 : y = 1 - 2 = - 1 ⇒ (1, - 1 )
x = 2.5 : y = 2.5 - 2 = 0.5 ⇒ (2.5, 0.5 )