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
2x - 3y = 16
5x - 3y = 13
1 answer