Answer:
B
Step-by-step explanation:
Given the 2 equations
x³ + y = 0 → (1)
11x² - y = 0 → (2)
Add (1) and (2) term by term to eliminate the term in y
x³ + 11x² = 0 ← factor out x² from each term
x²(x + 11) = 0
Equate each factor to zero and solve for x
x² = 0 ⇒ x = 0
x + 11 = 0 ⇒ x = - 11
Substitute these values into (1) for corresponding values of y
(1) y = - x³
x = 0 ⇒ y = 0 ⇒ (0, 0) is a solution
x = - 11 ⇒ y = - (- 11)³ = 1331 ⇒ (- 11, 1331) is a solution
