X2 + y2 = 8
x - y = 0
select all of the following that are solutions to the system shown.
(2, 2)
(2, -2)
(-2, 2)
(-2, -2)

 The answer are (a) (2, 2) and (d) (-2, -2).

Step-by-step explanation:  The given system of equations is

We are to select all the correct options from the given that are solutions to the above system.

Let us solve the system of equations as follows:

From equation (B), we have

Using equation (C) in equation (B), we have

and from (C) again, we get

Therefore, the solutions are (2, 2) and (-2, -2).

Thus, (a) and (d) are the correct options.