Answer:
y = 10
Step-by-step explanation:
Given the 2 equations
y = - 2x + 4 → (1)
y = x² + 4x + 13 → (2)
Since both equations express y in terms of x we can equate them
x² + 4x + 3 = - 2x + 4 ( subtract - 2x + 4 from both sides )
x² + 6x + 9 = 0 ← in standard form
(x + 3)² = 0 ← in factored form
x + 3 = 0 ⇒ x = - 3 with multiplicity 2
Substitute x = - 3 into (1)
y = 6 + 4 = 10
