Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial approximation and work with four significant digit accuracy until two successive iterates agree within $0\mathrm{.}001$ in each variable. In each case, compare your answer with the exact solution found using any direct method you like.

$7x_1-x_2=5$

$3x_1-5x_2=-7$