解同余方程a_1x_1＋a_2X_2＋…＋a_nx_n≡b（modm）

Solation of Congruent Equation a_1x_1+a_2x_2+…+a_nx_n≡b(modm)

用矩阵的初等变换给出了同余方程有解的充分与必要条件的新的证明，而且在这个证明中提供了求解的方法。

In this paper, we give a new proof for necessary and sunicient conditions of solution ex-istence of congruent equation a1x1+a2x2+…+anxn≡b(modm)by elementary transformationof matrix,and a solving method is given in this proof。