Linear equation over a ring
= Linear equation over a ring
{wiki=Linear_equation_over_a_ring}
A linear equation over a ring is an expression of the form: \\\[ a_1 x_1 + a_2 x_2 + \\ldots + a_n x_n = b \\\] where \\(a_1, a_2, \\ldots, a_n\\) and \\(b\\) are elements of a ring \\(R\\), and \\(x_1, x_2, \\ldots, x_n\\) are variables that take values in the ring