Question 213899
{{{6x-y=-2}}} or {{{y=6x+2}}}
{{{-18x+3y=4}}}


Step 1.  Let's rewrite the second equation where we can again rearrange by adding 18x to both sides of the equation to yield


{{{3y=18x+4}}}


or dividing by 3 to both sides of the equation, we have


{{{y=6x+4/3}}}


Step 2.  Now compare the following equivalent system of equations


{{{y=6x+2}}}
{{{y=6x+4/3}}}


The above equations are in slope intercept form where m=6 for both equations.


Step 3.  ANSWER:  When the equations of lines have the same slope there is NO SOLUTION since they cannot intersect at a point.


I hope the above steps were helpful. 


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And good luck in your studies!


Respectfully,
Dr J