Eliminate 3x+2y=4

8x-3y=-6

Steps:

1. Multiply the first line by 3 and the second by 2

3 (3x + 2y = 4)

2 (8x - 3y=-6)

2. New lines are

9x + 6y = 12

16x + - 6y=-12

3. Now add/subtract them

25x + 0 = 0

25x=0

4. Divide by 25

X=0

5. To find y, substitute the 0 in the x in one of the equations

9x + 6y = 12

9 (0) + 6y = 12

6y = 12

6. Divide by 6, your Y=2

7. X=0, Y=2