Solve the non-linear system of equations.

  (x3)2+(y1)2=50\displaystyle {\left({x}-{3}\right)}^{{2}}+{\left({y}-{1}\right)}^{{2}}={50}
  3x+y=10\displaystyle {3}{x}+{y}=-{10}


Present your answer in the form of (x,y)\displaystyle {\left({x},{y}\right)}. If there are more than one solutions, separate them by a comma. If there is no solution, enter DNE.