1. solve this nonlinear system of equations show your work. y=-x^2+6x-5 y=3 a. use substitution to combine equations. rewrite so that one side is equal to 0. b. factor your equation from part a. c. identify the x-values of the solutions. d. identify the solution to the system.

Step-by-step explanation:

Y=-x^2+6x-5

Y=3

a) Use substitution :

3 = - x²+6x- 5

x²- 6x+8 = 0

b) Factor your equation:

(x- 2)(x-4)=0

c) Identify the x-values of the solutions:

x-2=0 or x-4 =0

x=2 or x=4

d) Identify the solution to the system :

x=2       y=3

      and

x=4       y=3

answer for #1 is c

answer for #2 is d

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