Answer
The solution is:
$x=1$, $y=2$
Work Step by Step
We first have to solve the equations for $y$.
$6x-2y=-2$ Divide each term by $2$ and simplify
$y=3x-1$
$-3x-7y=17$ Simplify
$7y=-3x+17$
$y=-\frac{3}{7}x+\frac{17}{7}$
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.
$y_1=3x-1$
$y_2=-\frac{3}{7}x+\frac{17}{7}$
As the output shows, the solution is $x=1$, $y=2$
