n元一次不定方程的一种解法

A Process of Solving N-ary Indeterminate Equation Of the First Degree

不定方程a_1X_1+a_2X_2+…+a_nx_n=b (n≥2,6,a_i∈Z,i=1,2…n),当n=2时可用公式求解,但当n>2时目前还没有求解公式.本文用代数方法解决了这一问题。

The indeterminate equation, a1x1+a2x2+…+anxn=b(n≥2,b,ai∈Z,i=1, 2,…,n), can be solved with ready-made formula. However,no one has given a formula solution of the indeterminate equation with the condition of n>2 by now. This paper solves the problem with an algebraic method.