Answer
Infinite solutions
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $3x-y=6$
Green line: $1/3*y=-2+x$
Purple line:
$3x-y=6$
$3x-y+y-6=6+y-6$
$3x-6=y$ ($m=3$, y-intercept is 6)
Green line:
$1/3*y=-2+x$
$3*1/3*y=3*(-2+x)$
$y=-6+3x$
$y=3x+6$ ($m=3$, y-intercept is 6)
Since the two lines have the same slope and the same y-intercept, they are the same line. Thus, there are infinite solutions to the system.