Question 751154
Let's start by multiplying each equation so the y coefficient is 6.

3x+ 2y= 4    (multiply both side by 3)
4x- 3y= 11   (multiply both side by 2)

9x+ 6y= 12
8x- 6y= 22

Next, simply add both equations.

17x+0y=34

x=2

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

ANS x=2, y=-1