Answer:
A
Step-by-step explanation:
Given the 2 equations
y = x² → (1)
2y + 6 = 2(x + 3) ← distribute
2y + 6 = 2x + 6 ( subtract 6 from both sides )
2y = 2x ( divide both sides by 2 )
y = x → (2)
Substitute y = x² into (2)
x² = x ( subtract x from both sides )
x² - x = 0 ← in standard form
x(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0 or x - 1 = 0 ⇒ x = 1
x > 0 ⇒ x = 1
From (2), x = 1 ⇒ y = 1
and xy = 1 × 1 = 1 → A
