The given system of equations is:

2x + y = 8

4x + 3y = 9

Multiplying the first equation by 3 and subtracting the second equation from it:

6x + 3y – (4x + 3y) = 24 – 9

2x = 15

x = 15/2

Substituting the value of x in the first equation:

2(15/2) + y = 8

15 + y = 8

y = -7

So the solution to the system of equations is x = 15/2 and y = -7.