Answer
No solution
Work Step by Step
Please see the screenshot of the tables for the two equations.
Red line: $y=3x-4$
Blue line: $y=x+2$
$2x+y=4$
$2x+y-2x=4-2x$
$y=-2x+4$ ($m=-2$, y-intercept is 4)
$6x=-3y+6$
$6x+3y-6x=-3y+6+3y-6x$
$3y=-6x+6$
$3y/3=(-6x+6)/3$
$y=-2x+2$ ($m=-2$, y-intercept is 2)
The two lines have the same slope, so they are parallel. Parallel lines never intersect, so there is no solution to the system.
