Answer
No solution
Work Step by Step
Please see the screenshot of the tables for the two equations.
Purple line: $4x=2-2y$
Green line: $y=-2x+3$
Green line:
$y+2x=3$
$y+2x-2x=3-2x$
$y=-2x+3$ ($m=-2$, y-intercept is 3)
Purple line:
$4x=2-2y$
$4x+2y-4x=2-2y+2y-4x$
$2y=-4x+2$
$2y/2=(-4x+2)/2$
$y=-2x+1$ ($m=-2$, y-intercept is 1)
Since the two lines have the same slope, they are parallel and will not intersect. Thus, there is no solution to the system.