Answer:
The answer to your question is the letter A. (4, -8) and (1, -5)
Step-by-step explanation:
Data
x + y = -4 Equation l
y = x² - 6x Equation ll
Process
1.- Substitute equation ll in equation l
x + x² - 6x = -4
2.- Solve the quadratic equation
x² - 5x + 4 = 0
Factor (x - 4)(x - 1) = 0
-Solve for x
x₁ - 4 = 0 x₂ - 1 = 0
x₁ = 4 x ₂ = 1
3.- Substitute x₁ and x₂ in equation l
4 + y₁ = -4 1 + y₂ = -4
y₁ = -4 - 4 y₂ = -4 - 1
y₁ = -8 y₂ = -5
4.- Solutions
(4, -8) and (1, -5)
