From second equation x = 3 + y sub into first equation
(y+3)^2 + y^2 = 34
y^2 + 6y+9 + y^2 - 34 =0
2y^2 + 6y - 25 = 0 now use quadratic formula to find the y values
use these values in the original equations to find the corresponding 'x' values