Answer:
(-2, -7)
Explanation:
The second equation is already arranged in such a way that allows us to substitute it for x in the first equation, which will then allow us to solve for y:

Now, we can plug in -7 for y in any of the two original equations. We can do the second one since it's' the simplest of the two:

Finally, we can check our answers by plugging in -2 for x and -7 for y in both the equations and check that we get -41 for the first equation and -2 for the second equation.
Checking solutions for first equation:
-4(-2) + 7(-7) = -41
8 - 49 = -41
-41 = -41
Checking solutions for second equation:
-2 = -7 + 5
-2 = -2