This system has one solution what is the y cordinate of the solution

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