Answer
No solutions
Work Step by Step
$-2/3x+y=6$
$3y=2x+5$
$3y=2x+5$
$(3y=2x+5)/3$
$y=2/3*x+5/3$
$-2/3x+y=6$
$-2/3x+y-y-6=6-y-6$
$-2/3*x-6=-y$
$(-2/3*x-6=-y)*-1$
$2/3*x+6=y$
The slopes of the lines are the same $(2/3=2/3)$, so the lines are parallel. (The intercepts are different.)
Parallel lines never intersect, so there are no solutions to the system.
