Question 939688
let us take two equations
ax1+by1+c=0

and ax2+by2+c2 =0

If the equations don't have a solution then the condition for this will be
{{{a1/a2 = a2/b2}}} not equal to {{{c1/c2}}}

The slopes of the lines will be same.
They will be parallel lines
only the Y intercepts will be different

3x+6y = 8

6x+12y = 15

are examples of the system