X^2 + y^2 = 8

X-y=0

Select all of the following that are solutions to the system shown

X^2 + y^2 = 8

X-y=0 so x = y

replace x = y into X^2 + y^2 = 8

y^2 + y^2 = 8

2y^2 = 8

y^2 = 8/2

y^2 = 4

y = - 2 and y = 2

because x = y

so x = - 2 and x = 2

solutions:

x = - 2 and x = + 2

y = - 2 and y = + 2