Question

Which ordered pair is in the solution set of the system of equations y=-x+1 and y=x^2+5x+6?

a) (-5,-1)
b) (-5,6)
c) (5,-4)
d) (5,2)

Answer 1

-x+1=x^2+5x+6
x^2+6x+5=0
(x+1)(x+5)=0
x=-1
x=-5
if x=-5, then using one of the eqations for y (doesn't matter which) we can find the corresponding y value for x=-5.
y=-(-5)+1=6
B

Answer 2

i dont get what the question is asking lol.