Consider the nonlinear system

$x_1^2-x_2^2+2x_2=1$

$x_1^2+2x_1+x_2=7$

When the tolerance value is ${10}^{-1},$ the maximum number of iterations is $100,$ and the initial guess is $0=\{0\mathrm{.}5$;$0\mathrm{.}8\},$ find the number of iterations made by the

Matlab program to solve the system using the Newton's method.