<PRE><B>Question 97760</B>
We will use the addition method to get one variable by itselft. We will cancel out y first. In this case we will have to multiply the first equation by 2 and the second equation by -4 because we want y to have the same number.


2x + 4y = -8
3x + 2y = 0

2(2x + 4y = -8)
-4(3x + 2y = 0)

  4x + 8y = -16
-12x - 8y = 0

-8x = -16 

Now we divide by -8 on both sides to get x by itself.

-8x/-8 = -16/-8

x = 2

Now we have to find y. We will use the equation 4x + 8y = -16

4x + 8y = -16

Now we subtitute 2 for x.

4(2) + 8y = -16

8 + 8y = -16 

Now we need to get 8y by itself and we do this by subtracting 8 from both sides. 

8 + 8y - 8 = -16 - 8

8y = -24

Now we need y by itself and we do this by dividing 8 on both sides. 

8y/8 = -24/8

y = 3

The solution is (2,3)

Hope this helps. Good Luck. :)</PRE>