SOLUTION: can you tell me how to solve the linear system for: 5x+6y=3 -25x-30y=6

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Question 756322: can you tell me how to solve the linear system for:
5x+6y=3
-25x-30y=6
Found 2 solutions by Gogonati, Edwin McCravy:
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
This system is inconsistent (doesn't has solution) because if we divide the two sides of the second equation by -5 we get:
%28-25x-30y%29%2F-5=6%2F-5
5x%2B6y=-6%2F5 The expression 5x%2B6y cannot be simultaneously equal to 3
and -6%2F5.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
  5x +  6y = 3
-25x - 30y = 6

If you try to solve the system by multiplying the first
equation through by 5 you get

 25x + 30y = 15
-25x - 30y =  6

Then when you add the equations vertically term by term:

 25x + 30y = 15
-25x - 30y =  6
---------------
        0y = 21

And there can be no possible value for y, because there is
no value for y that you can multiply by 0 and get 21, because
you'll always get 0 instead.

So the system has no solution because the system is inconsistent.
That is if you draw their graphs, they do not intersect to give
a solution because they are parallel.  Here are their graphs: 

graph%28400%2C400%2C-2%2C2%2C-2%2C2%2C1%2F2-5x%2F6%2C-1%2F5-5x%2F6%29

Edwin