I was wondering how one might solve a systems of equations like this:
$a_1x_1+a_2x_2+a_3x_3+a_4x_4+\ldots = a_n$
$b_1x_1+b_2x_2+b_3x_3+b_4x_4+\ldots = b_n$
$c_1x_1+c_2x_2+c_3x_3+c_4x_4+\ldots = c_n$
$\vdots$
$z_1x_1+z_2x_2+z_3x_3+z_4x_4+\ldots = z_n$
Given values $a_1, a_2, a_3, \ldots a_n$ to $z_1, z_2, z_3, \ldots z_n$ are all known and $n$ is an arbitrary positive integer, how would I solve for $x_1, x_2, x_3, \ldots x_n$?
Thanks in advance!