What are the differences between cardinal directions and intermediate directions

Cardinal directions are your basic N, S, E, W and intermediate, or intercardinal directions are NE, SE, SW, and NW.
N and S always comes first when dealing with inter-cardinals.

Here, Multiply second equation by 2, 
-8x + 6y = -20

Now,Add both the equations in order to eliminate x from the expression,
8y= -16
y = -16/8
y = -2

Substitute the value in 1st equation, 
8x + 2(-2) = 4
8x = 4 + 4
x = 8 / 8
x = 1

In short, Your Answer would be Option D) (1, -2)

Hope this helps!