Solve the system y=-x² - 4x+1 and y-2x = 10.

(-3, 4)

Step-by-step explanation:

y = - x² - 4x + 1

y - 2x = 10

Solve the system of equations using substitution or elimination. Using substitution:

(-x² - 4x + 1) - 2x = 10

-x² - 6x + 1 = 10

-x² - 6x - 9 = 0

x² + 6x + 9 = 0

(x + 3) ² = 0

x + 3 = 0

x = - 3

y = 4

The solution is (-3, 4).