Question

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

Answer 1

The graph in the attached figure

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)