Answer
Infinite solutions
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $6x-y=4$
Green line: $1/2y=-2+3x$
Purple line:
$6x-y=4$
$6x-y+y-4=4+y-4$
$6x-4=y$
$y=6x-4$ ($m=6$, y-intercept is -4)
Green line
$1/2y=-2+3x$
$2*1/2y=2*(-2+3x)$
$y=-4+6x$
$y=6x-4$ ($m=6$, y-intercept is -4)
Since the two lines have the same slope and the same y-intercept, the two lines are the same. Thus, there are are an infinite number of solutions for the system.
