Write a program that uses Newton's method tions to obtain a solution of the system of nonlinear equa- 1 x + y + 22 x + 2 = 0.25 = 0, x + y - 4x correct to four decimal digits, taking r = 1, y = 1, and = 1 as the initial guess. f(x, y, z) = g(x, y, z) h(x, y, z) =