Answer
The system has no solution.
Work Step by Step
$y$ is isolated in eq. $1.$
$ y=2x-3\qquad$ (*)
Replace $y$ with $2x-3$ in the other equation:
$(2x-3)-2x=1\qquad$ ... and solve for $x$.
$2x-2x=1+3$
$ 0=4\qquad$ ... a contradiction,
the system has no solution.