Question

What are the x-coordinates of the solutions to this system of equations?

Answer 1

Answer:

Option A  $-4$ and $0$

Step-by-step explanation:

we have

$x^{2}+y^{2} =16$ -----> equation A

This is the equation of a circle with center at the origin and radius $4$ units

$y=x+4$ -----> equation B

This 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 $(-4,0)$ and $(0,4)$

see the attached figure

therefore

the x-coordinates of the solution are $-4$ and $0$

Answer 2

The answer is a
Hope this helped :)