Answer:
(-4,-1) (2,5)
Explanation:
y = x^2 + 3x - 5
y = x + 3
Since they are both equal to y we can set them equal to each other
x^2 + 3x - 5 = x + 3
Subtract x from each side
x^2 + 3x-x - 5 = x-x + 3
x^2 +2x -5 =3
Subtract 3 from each side
x^2 + 2x - 5-3 = 3- 3
x^2 +2x -8=0
What 2 numbers multiply to -8 and add to 2
4*-2 = -8
4-2 =2
(x+4) ( x-2) =0
Using the zero product property
(x+4) =0 ( x-2) =0
x = -4 x=2
Now we need to find y for each x
If x = -4 y = -4+3 =-1
If x =2 y = 2+3 =5