Given Simultaneous linear equations of the form, $$a_{11}x_1 + a_{12}x_2+a_{13}x_3+\cdots a_{1n}x_n = b_1$$ $$a_{21}x_1 + a_{22}x_2+a_{23}x_3+\cdots a_{2n}x_n=b_2$$ $$a_{31}x_1 + a_{32}x_2+a_{33}x_3+\cdots a_{3n}x_n=b_3$$ $$\vdots$$ $$a_{n1}x_1 + a_{n2}x_2+a_{n3}x_3+\cdots a_{nn}x_n=b_n$$
Can the Newton Raphson's Method use to solve this system of linear equations? Please mention the reasons and possible arguments.
That just leads you back to solving the same system in the (only) iteration. No point in that.
There are iterative methods to approximate the solution to (large, sparse) linear systems, like relaxation.