Question 61037
given -3x - 4y = -2 --------------(1)               
       x + 3y = -6 -----------------(2)

Direct addition will not eliminate one variable as the coefficients are different.
We first make the coefficients of x equal and then add.
  -3x - 4y = -2 -------------(1)
  3x  + 9y = -18  -------------(2)

Adding the above we get,
5y = - 20
==> 5y/5 = - 20/5
==> y = -4
Plugging this in (2) ,
x + 3(-4) = -6
==> x - 12 = - 6
==> x - 12 + 12 = -6 + 12
==> x = 6

Thus x = 6 and y = - 4


Good Luck!!!