Using python solve this problem:

5. System of Nonlinear Equations (Coding Problem) (20 pts) In code solve the sys- tem of nonlinear equations using Newton's method (1-3)2 + y2 5 = Stop iterating when the 2-norm of the incremental vector, {rk+1-2%; yk+1-Uk), s less than 104. Compute the solution accuracy by plugging your estimated solution back into the provided equations and evaluating each at f(x,y)-0. (a) Use o , as your initial guess. Print out the final estimated r, y as well as your error for each function (b) Repeat using [x,-5, yo =-2] as your initial guess. Print out the final estimated r, y as well as vour error for each function. 5. System of Nonlinear Equations (Coding Problem) (20 pts) In code solve the sys- tem of nonlinear equations using Newton's method (1-3)2 + y2 5 = Stop iterating when the 2-norm of the incremental vector, {rk+1-2%; yk+1-Uk), s less than 104. Compute the solution accuracy by plugging your estimated solution back into the provided equations and evaluating each at f(x,y)-0. (a) Use o , as your initial guess. Print out the final estimated r, y as well as your error for each function (b) Repeat using [x,-5, yo =-2] as your initial guess. Print out the final estimated r, y as well as vour error for each function