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}.
x+y+7z=92x+7y+z=103x4y+6z=5\begin{aligned}x+y+7z&=9 \\2x+7y+z&=10 \\3x-4y+6z&=5\end{aligned}
b, with, vector, on top, equals
Represent each row and column in the order in which the variables and equations appear.