Answer:

First, let's multiply the first equation by 2 and the second equation by 3 to make the coefficients of y the same in both equations:

4x + 6y = 22

12x - 6y = 18

Now, we can add these two equations together:

16x = 40

Then, we can solve for x by dividing both sides by 16:

x = 40 / 16 = 2.5

Now that we have x, we can substitute it into the first equation to solve for y:

2(2.5) + 3y = 11

5 + 3y = 11

3y = 11 - 5 = 6

y = 6 / 3 = 2

So, the solution to the system of equations is x = 2.5 and y = 2.