To solve the system of equations:

1) 5u + 2v = -19
2) u - 5v = -47

Let's solve equation 2 for u:
u = -47 + 5v

Now, substitute the value of u in equation 1:
5(-47 + 5v) + 2v = -19
-235 + 25v + 2v = -19
27v = -19 + 235
27v = 216
v = 216 / 27
v = 8

Now, substitute the value of v back into the equation to solve for u:
u = -47 + 5(8)
u = -47 + 40
u = -7

Therefore, the solution to the system of equations is:
u = -7
v = 8