Solve by any method. \[ \begin{array}{l} 2 x-y=-2 \\ x+2 y=19 \end{array} \]

Step 1 ：This is a system of linear equations. We can solve it using substitution or elimination method. I will use the elimination method.

Step 2 ：First, I will multiply the first equation by 2 and the second equation by 1 to make the coefficients of y in both equations the same. Then, I will subtract the second equation from the first to eliminate y. This will give me the value of x.

Step 3 ：After finding the value of x, I will substitute it into the second equation to find the value of y.

Step 4 ：The solution to the system of equations is \(x = 3\) and \(y = 8\). This means that these values satisfy both equations.

Step 5 ：Final Answer: The solution to the system of equations is \(\boxed{x = 3}\) and \(\boxed{y = 8}\).