Question

find the value of k for the following pair of equations 3x-y-5=0 and 6x-2y-k=0 if the lines represented by these equations are parallel​

Answer 1

Answer:

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.Read more on Sarthaks.com - https://www.sarthaks.com/132176/find-the-value-of-k-for-which-the-system-of-equations-3x-y-5-6x-2y-k-has-no-solution