Question

Which graph correctly solves the system of equations below? x2 + y2 = 4 y = x + 2

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

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

This is the equation of a circle centered at the origin with radius equal to $2\ units$

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

This is a linear equation

we know that

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

using a graphing tool

see the attached figure

the solution are the points $(-2,0)$ and $(0,2)$

Answer 2

This graph correctly finds the solutions to be
.. (x, y) = (0, 2) or (-2, 0)