Graph the system below and write its solution.
\[
\left\{\begin{array}{l}
y=-2 x-3 \\
x-3 y=-5
\end{array}\right.
\]
Note that you can also answer "No solution" or "Infinitely many" solutions.
Solution:

Step 1 ：Rewrite the first equation: \(y=-2x-3\) as \(y+2x=-3\)

Step 2 ：Write the augmented matrix: \[\left[\begin{array}{ccc|c} 2 & 1 & -3 \\ 1 & -3 & -5 \end{array}\right]\]

Step 3 ：Perform row operations (R2 = R2 - R1): \[\left[\begin{array}{ccc|c} 2 & 1 & -3 \\ 0 & -4 & -2 \end{array}\right]\]

Step 4 ：Perform row operations (R2 = R2/(-4)): \[\left[\begin{array}{ccc|c} 2 & 1 & -3 \\ 0 & 1 & 1/2 \end{array}\right]\]

Step 5 ：Perform row operations (R1 = R1- R2): \[\left[\begin{array}{ccc|c} 2 & 0 & -4 \\ 0 & 1 & 1/2 \end{array}\right]\]

Step 6 ：Perform row operations (R1 = R1/2): \[\left[\begin{array}{ccc|c} 1 & 0 & -2 \\ 0 & 1 & 1/2 \end{array}\right]\]

Step 7 ：Read the solution from the matrix: \(x = -2\) and \(y = 1/2\)