So we have
2x + 7y = 4 ---------(1)
-4x - 3y = 14 -------(2)
Multiplying (1) by 2.
4x + 14y = 8 -----(3)
(2) + (3) we have
11y = 22
y = 2
If y = 2 then we substitute y into (2), and so we have:
-4x - 3(2) = 14; -4x - 6 = 14; So -4x = 14 + 6 = 20
-4x = 20 and so x = -5 then our answer takes the form (-5,2)