Question 37273
We start with
4x – 12y = 5
-x + 3y = -1
Let us solve the second equation for x and substitute its value into the first equation.  Here goes:
3y = x - 1  and
x = 3y + 1
Now substitute
4(3y + 1) - 12y = 5
12y + 4 - 12y = 5
4 = 5
Since this is an impossibility, we know there is no solution.  That also means our two lines are parallel and the system is said to be inconsistent.