What is the solution to this set of equations? show your work.

y=5x-9

y=x^2-3x+7

(4, 11)

Step-by-step explanation:

Given the 2 equations

y = 5x - 9 → (1)

y = x² - 3x + 7 → (2)

Substitute y = x² - 3x + 7 into (1)

x² - 3x + 7 = 5x - 9 ( subtract 5x - 9 from both sides )

x² - 8x + 16 = 0 ← in standard form

(x - 4)² = 0 ← in factored form

x - 4 = 0 ⇒ x = 4

Substitute x = 4 into (1) for corresponding value of y

y = (5 × 4) - 9 = 20 - 9 = 11

Solution is (4, 11)

step-by-step explanation:

in which figure is point g a centroid