Answer:
(4, 11)
Explanation:
Given the 2 equations
y = 5x - 9 → (1)
y = x² - 3x + 7 → (2)
Substitute y = x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )
x² - 8x + 16 = 0 ← quadratic equation in standard form
(x - 4)² = 0 ← in factored form as a perfect square, so
x - 4 = 0 ⇒ x = 4
Substitute x = 4 into (1) for corresponding value of y
y = 20 - 9 = 11
Solution (x, y) → (4, 11)