Question 44742
Elimination Method

3x - 6y = 9.....multiply this line by 2 
2x + y = -4.....mutiply by 3

We have:
6x - 12y = 18...(1)
6x + 3y = -12...(2)

we work by eliminating x therefore (1) - (2)
We have:

6x - 6x = 0

-12y -3y = -15y

and 18 - (-12)= 30

This give -15y = 30

Divide both side by -15, we have:
y = -2

Replcing the value of y in any of the above equation:

for example
we use
3x -6y=9
3x - 6(-2) = 9
3x +12 = 9, since  - x - = +

then take away 12 from both sides, leaving
3x = - 3

giving x = -1

Answer:
x = -1
y = -2