Question

Select the correct answer.
Solve the system of equations.

y = x + 3
$y=x^{2} +7x+8$

A.
(-1,-4) and (-5,-8)
B.
(-1,2) and (-5,-2)
C.
(1,4) and (5,8)
D.
(-1,-2) and (-5,2)

Answer 1

Answer:

B.  (-1,2) and (-5,-2)

Step-by-step explanation:

Substitute x + 3 in for y in the second equation.  you get

$x + 3 = x^{2} + 7x + 8\\x^{2} + 6x + 5 = 0$

(x + 1)(x + 5) = 0

x + 1 = 0    or  x + 5 = 0

x = - 1       or     x = -5

Using the first equation, let x = -1  and x = -5 in order to get the corresponding values for y

y = -1 + 3 = 2           and y = -5 + 3 = -2

So, B is the correct answer.