Solve each solution by substitution. y=-x^2-2x+8 y=x^2-8x-12

(5, - 27) and ( - 2, 8)

Since both equations express y in terms of x , we can equate the right sides

x² - 8x - 12 = - x² - 2x + 8

rearrange into standard form ( ax² + bx + c = 0 )

2x² - 6x - 20 = 0 ( divide through by 2 )

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0 ( equate each factor to zero and solve for x )

x - 5 = 0 ⇒ x = 5

x + 2 = 0 ⇒ x = -2

Substitute these values into either of the 2 equations for y

x = - 5 → y = 25 - 40 - 12 = - 27 ( using x² - 8x - 12 )

x = - 2 → y = 4 + 16 - 12 = 8

solutions : (5, - 27) or ( - 2, 8 )

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

answer: it's upside down and i can't read it

step-by-step explanation: