What is the augmented matrix of the following system? \[ \begin{array}{r} -3 x+5 y=2 \\ 12 x+2 y=6 \end{array} \]

Step 1 ：The augmented matrix of a system of linear equations is a matrix that includes the coefficients of the variables and the constants on the other side of the equation. In this case, the augmented matrix would be a 2x3 matrix where the first row would be the coefficients of the first equation and the second row would be the coefficients of the second equation.

Step 2 ：The first row of the matrix corresponds to the coefficients and constant term of the first equation, and the second row corresponds to the coefficients and constant term of the second equation.

Step 3 ：Final Answer: The augmented matrix of the given system of equations is \[\begin{array}{ccc}-3 & 5 & 2 \\ 12 & 2 & 6\end{array}\]