we have
[tex]7x-4y=-8[/tex] -------> equation A
[tex]y=x-3[/tex] ------------> equation B
we know that
The solution of the system of equations is the intersection point both graphs
so
Using a graphing tool
see the attached figure
The solution is the point [tex](-6.7,-9.7)[/tex]
therefore
the answer is
the closest approximate solution to the system of equations is [tex](-5,-7.2)[/tex]