Question

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

x2 + y2 = 16
y = x + 4

A.) -4 and 0

B.)4 and 0

C.) -2 and -3

D.) 2 and -3

Answer 1

The answer is a
Hope this helped :)

Answer 2

Option A
`-4` and
`0`

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`