solve the following system of nonlinear equations:

y x2 = 1

x2 +y2 =5

(a) Graphically. Use MATLAB for plotting.

(b) Using the successive substitution method with the initial guesses of x = y = 1.5. [Hint: Solve the first equation for x and the second equation for y]. Use paper-and-pencil computation showing all steps.

(c) Using the Newton-Raphson method with the initial guesses of x = y = 1.5. Use paper-and-pencil computation showing all steps.