We want to find the solution for the system of linear equations such that we know some points of the lines. We will see that the correct option is A: (-7, 4).
When we have a system of equations the solutions are the points where the graphs of the equations intercept.
Here we know that we have two lines:
So we already can see that both lines pass through the point (7, -4), meaning that the lines do intercept at that point, so the solution of the system is that point (we know that we don't have more solutions because lines intercept only once).
So the correct option is A: (-7, 4)
If you want to learn more about systems of equations, you can read: