Question

Which represents the solution(s) of the system of equations, y + 4 = x2 and y – x = 2? Determine the solution set by graphing.

Answer 1

The intersection of the gaphs of the two equations are at point (-2, 0) and (3, 5) which are the solutions to the system of equations.

Answer 2

Answer:

$(-2,0)$ and $(3,5)$

Step-by-step explanation:

we have

$y+4=x^{2}$ -----> equation A

Is a vertical parabola open upward

$y-x=2$ ----> equation B

Is the equation of a line

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection points are $(-2,0)$ and $(3,5)$

see the attached figure