Answer
infinitely many solutions
Work Step by Step
Multiply the first equation by -3. Add the two equations.
$2x-\ 5y=17\ \ \ \ $ multiply by -3$\ \ \ \ -6x+15y=-51$
$6x-15y=51\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6x-\ \ 5y=\ \ \ 51$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0=\ \ \ \ \approx0$
