2x - 3y = 16

5x - 3y = 13

Subtracting the second equation from the first, we get:

(2x - 3y) - (5x - 3y) = 16 - 13

Simplifying:

-3x = 3

Dividing both sides by -3:

x = -1

Substituting this value of x into either of the original equations, we can solve for y:

2(-1) - 3y = 16

-2 - 3y = 16

-3y = 18

y = -6

Therefore, the solution to the system of equations is:

x = -1, y = -6