Question 136789
y-3x= -2
   6x-2y= 4
---------------
Substitute to get:
6x -2*(3x-2) = -2
6x-6x+4 = -2
4 = -2
---------------
This is a contradiction that resulted from assuming
the x's and the y's in the two equations were the same for
both equations.
----------------
That assumption lead to the contradiction.
Therefore the x's and the y's cannot be the same
in the two equations.  That means there is no solution
for the system.
------------------
That also means the system of equations is "inconsistent".
---------------------
If you graphed the two equation you would get parallel lines.
=====================
Cheers,
Stan H.