Question 1051839
-x+2y=-2
3x=6y+6


{{{system(-x+2y=-2,3x=6y+6)}}}


Put both into standard form.
{{{system(-x+2y=-2,3x-6y=6)}}}


Simplify if possible.
{{{system(-x+2y=-2,x-2y=2)}}}


Good idea may be to multiply either equation entirely by {{{-1}}} to make coefficients to have the same sign for corresponding parts.
Try doing this to the first equation of this simplified system:
{{{system(x-2y=2,x-2y=2)}}}
But what do you notice?   
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NO SOLUTION.
WHY?  Equal slopes.  Equal constants.  Lines are the same.
More correctly stated, the two equations are equivalent and represent the same line.