Question 108675
Solve by substitution:
4x-12y = 5
-x+3y = -1  Solve this for x:
x = 3y+1 and substitute into the 1st equation.
4(3y+1)-12y = 5 Simplify and solve for y.
12y+4-12y = 5 Combine like terms.
(12y-12y)+4 = 5
4 = 5  NO WAY! The equations are inconsistent !
This means that there no value of x or y that will work, or there is no solution.  The lines represented by these two equations are parallel and, since they don't intersect, there is no solution.
{{{graph(600,400,-5,5,-5,5,y=(1/3)x-1/3, y = (4/12)x+5/12)}}}