Question

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

Answer 1

Answer:

(-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).