+123 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
+37146 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:
