We will have the following:
We must first solve the system, that is:
-2(-2y + 5x = 4)
-4y + 3x = -6
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4y -10x = -8
-4y + 3x = -6
----------------------
-7x = -14 => x = 2
Now, we solve for y:

So, the solution of the system is (2, 3); thus the solution is found in the first quadrant.