Question 1177786
Consider two equations

a1x+b1y+c1=0      a1 ,b1,a2,b2 not equal to 0 

a2x+b2y+c2=0

For a unique solution

a1/b1 not equal to a2/b2 

For innumerable solutions 

a1/a2 =b1/b2=c1/c2

For no solution

a1/a2 = b1/b2 not equal to c1/c2