Question

Solve the following system of equations and show all work. y = -x^2 + 4 y = 2x + 1

Answer 1

-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0           -x + 1 = 0
x = -3                -x = -1
                          x = 1

so x = -3 and x = 1