5. Solve the following system of equations using any method, then check your solutions.

**b.** y = -x^2 + 2x + 4, x + y = 4

**c.** x^2 + y^2 = 16, x^2 - 5y = 5

Marss Feb 24, 2019

#1**+2 **

b y = 4-x sub into the first equation

4-x = -x^2+2x+4 subtract 4 and add x to both sides

0 = -x^2 + 3x simplify

0 = -x(x-3) so x = 0 or 3 x+y = 4 results in y = 4 or 1 (0,4) or (3,1)

c Graphically:

ElectricPavlov Feb 24, 2019