FOR WHAT VALUES OF K , WILL THE FOLLOWING SYESTEM OF EQUATIONS HAVE NO SOLUTION ? 3X+Y=1 AND (2K-1)X + (K-1)Y = 2K+1

Answer 1

The lines will be parallel if 3(K-1)=2K-1, i.e. if K=2

and since the constant terms are NOT equal the lines do not overlap.

3x + y =1

3x+y= 5