Question 814115
Put the second equation, 8y=-6x-4, into the same form as the first and compare:

8y+6x=-4
4y+3x=-2
3x+4y=-2


Note how the coefficents on x and y are in proportion to the ones in the first equation.  NOW, try multiplying both sides of the second equation (now transformed) by negative 1:


-3x-4y=2.

This is exactly the same as the first equation.  The original system is really one single equation written in two different ways.  INFINITE SOLUTIONS.