The system of equations is:

1) y = 3x - 2
2) y = 2x - 3
3) y = 5x + 4

To find the values of x and y that satisfy all three equations simultaneously, we can set any pair of equations equal to each other.

From equations 1 and 2:
3x - 2 = 2x - 3
x = 1

Now, plug x = 1 into any of the equations to find y.

Using equation 1:
y = 3(1) - 2
y = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.