Respuesta :

Answer:

C.(0,1),(-3,-2)

Step-by-step explanation:

(x+1)=x^2+4x+1

0=x^2+3x

(x+3)(x+0)

x=-3 x=0

when x=-3, y=(3)^2+4(-3)+1=-2

when x=0, y=0^2+0x+1=1

Answer:

C

Step-by-step explanation:

We can substitue equation 2 into equation because y is common in both equations:

1. y=x^2+4x+1

2. y=x+1

therefore:

[tex]x+1=x^2+4\cdot{x}+1[/tex]

We can take x+1 to the right side:

[tex]0=x^2+3\cdot{x}[/tex]

We can write it as multiples of x:

[tex]0=x\cdot{(x+3)}[/tex]

Therefore the answer is x=0 or x=-3 and therefore we can substitute into equation 1 and 2. therefore for equation 1 and 2 when x=0

[tex]y=1[/tex]

and when x=-3

[tex]y=-2[/tex]

The answer is (0,1) and (-3,-2) which is C