Answer
The system has no solution.
Work Step by Step
We first have to solve the equations for $y$.
$8x-4y=16$ Divide each term by $4$ and simplify
$y=2x-4$
$-6x+3y=3$ Divide each term by $3$ and simplify
$y=2x+1$
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.
$y_1=2x-4$
$y_2=2x+1$
As the output shows, this system has no solution.
