Solve using elimination 2x-3y=9 and -5x-3y=30
2x - 3y = 9 ...(1)
-5x - 3y = 30 ...(2)
Subtracting (1) from (2)
-5x - 3y = 30
- 2x - 3y = 9
-7x = 21
x = -3
$2x-3y=9, -5x-3y=30$
$(2x-3y)-(-5x-3y)=-21,$
$7x=-21$
$\boxed{x=-3,y=-5}$