Step-by-step explanation:
[tex]y = {x}^{2} + {y}^{2} [/tex]
[tex]2 = {x}^{2} + {2}^{2} [/tex]
[tex]2 = {x}^{2} + 4[/tex]
Subtract 4 from both sides
[tex] - 2 = {x}^{2} [/tex]
There's no solution for x when y = 2