Question 291089
By "elimination", we mean eliminate one variable, and then solve for the other.

In the case, we can simply subtract the second statement from the first producing:  x = -1.

Now, we can substitute the -1 into either equation.  I'll choose the first:
-3 -9y = 3
-9y = 6
y = -(2/3).

The answer then is (-1, -2/3)

You can substitute for x & y back into the original equations:

3(-1) - 9(-2/3) = 3, -3 + 6 = 3, 3 = 3.  OK
2(-1) - 9(-2/3) = 4, -2 + 6 = 4; 4 = 4.  OK.