Question 684372
Multiply the first equation by 5, then add the second equation
5(-x+6y=-2) to get {{{-5x+30y=-10}}}
...
-5x+30y = -10
5x - 30y = 10
-5x + 5x + 30y - 30y = -10 + 10
0 = 0
This a true statement; therefore, the system is dependent and every point on the line is a solution.  
This is because they are the same line as seen when putting them both into slope intercept format.
...
-x + 6y = -2
6y = x-2
y = {{{(1/6)x - 2/6}}}
y = {{{(1/6)x - 1/3}}}
AND
5x - 30y = 10
-30y = -5x + 10
y = {{{(5/30)x + (10/-30)}}}
y = {{{(1/6)x - (1/3)}}}
.....................
Have more questions? 
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com 
Wanting for others what we want for ourselves.