ANSWER
The given system of equations has no solution.
EXPLANATION
We write the two equations in the slope-intercept form,
[tex]y = mx + c[/tex]
The first equation is
[tex]2x - y = 7[/tex]
We make y the subject to obtain,
[tex]y = 2x - 7 - - (1)[/tex]
The second equation is already in slope intercept form.
[tex]y = 2x + 3 - - (2)[/tex]
We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.