What you're missing is that this is a dependent system and
there are infinitely many solutions to the system.

When you try to solve them by the elimination method,

If you clear the fraction of the second

2x-5=3/2y

you get:

4x-10=3y

And put it in standard order

4x-3y=10

which is identical to the first equation.

So when you try to solve them by elimination,
you get:

 4x-3y = 10
-4x+3y =-10
-----------
    0y = 0

So you don't get 0, you get

   0y = 0

And every value of y will satisfy that equation.

So there are infinitely many solutions.

Graphically they are two lines one coinciding with
the other.  Therefore they "intersect" everywhere.

The "solution" is "It is a dependent system with infinitely
many solutions."

Edwin