2/3x + 1/4y = -26 (a)
+
2/5x + 2/3y = -28 (b)
____________
Multiply (a) by -3/5 , then add
-2/5x - 3/20 = 78/5
+
2/5x + 2/3y = -28 (b)
______________
31/60y = -62/5
y = -62/5 * 60/31
y= -24
Replace y=-24 on any equation and solve for x
2/3x + 1/4 (-24) = -26
2/3x -6 = -26
2/3x = -26+6
2/3x = -20
x = -20 * 3/2
x = -30
(x,y) = (-30,-24)
