Answer
Infinite solutions
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $y-3x=-2$
Green line: $6x-2y=4$
Purple line:
$y-3x=-2$
$y-3x+3x=-2+3x$
$y=3x-2$ ($m=3$, y-intercept is -2)
Green line:
$6x-2y=4$
$6x-2y+2y-4=4+2y-4$
$6x-4=2y$
$(6x-4)/2=2y/2$
$3x-2=y$
$y=3x-2$ ($m=3$, y-intercept is -2)
The two lines have the same slope and y-intercept. Thus, the two lines are actually the same line and have an infinite number of solutions.
