Answer:
(- 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 )
