Question

find the value of k for which of the following system of equation has a unique solution
4x-5y=k,2x-3y=12​

Answer 1

Answer:

The given system of equations are  4x - 5y = k  ⇒ 4x - 5y - k = 0 ….(i)  And, 2x - 3y = 12  ⇒2x - 3y - 12 = 0 …(ii)  These equations are of the following form:  a1x+b1y+c1 = 0,  a2x+b2y+c2 = 0  Here, a1 = 4, b1= -5, c1 = -k and a2 = 2, b2 = -3, c2 = -12  For a unique solution, we must have: Thus, for all real values of k, the given system of equations will have a unique solution.Read more on Sarthaks.com - https://www.sarthaks.com/131775/find-the-value-of-k-for-which-the-system-of-equations-has-a-unique-solution-4x-5y-k-2x-3y-12