Answer
No solution
Work Step by Step
Please see the screenshot of the tables for the two equations.
Green line: $x-y=4$
Purple line: $x-y=1$
$x-y=4$
$x-y+y-4=4+y-4$
$x-4=y$ ($m=1$, y-intercept is -4)
$x-y=1$
$x-y+y-1=1+y-1$
$x-1=y$ ($m=1$, y-intercept is -1)
These two lines have the same slope, so they are parallel lines. Parallel lines have the same slope, so these lines will not intersect. Thus, there is no solution to the system.