Answer
System has no solution.
Work Step by Step
To solve the equation, we will use the table function of a graphing calculator. Input both of the equations as $y_1$ and $y_2$ and look for an $x$ value where both $y_1$ and $y_2$ are the same.
$y_1=4x+1$
$y_2=4x-8$
As the output shows, this system has no solution.