What ordered pair is a solution to y = x + 5 and x - 5y = - 9?

I also need to show the work.

( - 4, 1)

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5 (x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 (add 25 to both sides)

- 4x = 16 (divide both sides by - 4)

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is ( - 4, 1)