x+y=2 y=-1/4 x^2 + 3 In two or more complete sentences, explain how to solve the system of equations algebraically. Solve the system of equations. In your final answer, include all of your work.

x+y = 2 ... (1)

y = (-1/4) x²+3 ... (2)

by (1) : y = - x+2

subsct in (2) : - x + 2 = (-1/4) x²+3

-4x+8 = - x² + 12

x²-4x - 4 = 0

(x² - 4x + 4) - 4 - 4 = 0

(x-2) ² = 8 = (2√2) ²

x-2 = 2√2 or x-2 = - 2√2

x = 2 + 2√2 or x = 2 - 2√2

if : x = 2 + 2√2 ... y = - (2 + 2√2) + 2 = - 2√2

if : x = 2 - 2√2 ... y = - (2 - 2√2) + 2 = 2√2

two solutione : (2 + 2√2, - 2√2), (2 - 2√2, 2√2)