solve the following system of equations
x + 6y = 6 (1)
x = 7 - 6y (2)

Question

anonymous · Answer

no solution

mathteacher1729 · Answer

Why is that the correct answer, Adrianosst?

anonymous · Answer

because x=6-6y and x=7-6y. So 6=7?

mathteacher1729 · Answer

That's a little clearer, but how did you obtain 6 = 7 ?  You did something with x = 6-6y and x = 7 - 6y I guess...  :)

anonymous · Answer

i brought them both to the x=blah blah form

mathteacher1729 · Answer

And then subtracted one from the other: 

   x = 6 - 6y 
- x  =-7 + 6y  ( I multiplied everything in this row by -1)
--------------
0 = -1 + 0 

But 0 does not equal -1. 

Also, we can put the equations in y = mx + b form and see that the slopes (m) are equal, but the intercepts are not. 
That means we have two parallel lines, and parallel lines never intersect, so no solution. :)