Represent linear systems with matrix equations

Represent systems of two linear equations with matrix equations by determining A and b in the matrix equation A*x=b.


The following system of equations is represented by the matrix equation A[xyz]=b\text{A}\left[\begin{array} {ccc} x \\ y \\ z \end{array} \right]=\vec{b}.
12x+15y+2z=19x8y+6z=1415x+12y6z=3\begin{aligned}12x+15y+2z&=19 \\x-8y+6z&=14 \\15x+12y-6z&=3\end{aligned}
b, with, vector, on top, equals
Represent each row and column in the order in which the variables and equations appear.