Ok so in solving systems of linear equations, we first find the value of a variable. By looking at the equations, solving for x by using the second equation seems the easiest.
x - y = -5
x = -5 + y
x = y - 5
Then we plug in the equation of x into the first equation and solve for y.
x - 2y = 19
y - 5 - 2y = 19
-3y - 5 = 19
-3y = 24
-y = 8
y = -8
Now we plug in y = -8 in the solved equation for x
x = y - 5
x = -8 - 5
x = - 13
Therefore, x = -13 and y = -8
Hope this helps!