Answer:
(2, 7) and (-6, -1)
Explanation:
y = x + 5
y = x² + 5x − 7
Equatig the above,
x² + 5x − 7 = x + 5
⇒ x² + 4x −12 = 0
⇒ x² + 6x - 2x - 12 = 0
⇒ x(x + 6) - 2(x + 6) = 0
⇒ (x - 2)(x + 6) = 0
⇒ x = 2 or x = -6
Eq(1) : y = x + 5 (given)
When x = 2
y = 2 + 5 = 7
Point : (2, 7)
When x = -6
y = -6 + 5 = -1
Point: (-6, -1)