Question 281030
3x + 5y = -11
 x - 2y = 11

Multiply second equation by -3 (to eliminate the x term)

 3x + 5y = -11
-3x + 6y = -33

Add Equations together:

11y = -44
y = -4

Substitute for y into first equation:

3x + 5(-4) = -11
3x = 9
x = 3

Prove the answer:  aubstitute into original equations:
3(3) + 5(-4) = 11 (9 - 20 = 11)
-3(3) + 6(-4) = -33 (-9 - 24 = 33).