Question

For which value of K system has no solution --.
3x-9y=5 and (2k-1)x+3(k-2)​

Answer 1

The given system of equations: 3x - y - 5 = 0 ….(i) And, 6x - 2y + k = 0 ….(ii) These equations are of the following form: a1x+b1y+c1 = 0, a2x+b2y+c2 = 0 where, a1 = 3, b1= -1, c1 = -5 and a2 = 6, b2 = -2, c2 = k In order that the given system has no solution, we must have: Hence, equations (i) and (ii) will have no solution if k ≠ -10.