Question

Multiple Choice Question:
1. The value of k for which the system of equations
Kx-y=2
6x - 2y=3
has a unique solution is?
a) =3
b) +3
c) #0
d) =0​

Answer 1

Step-by-step explanation:

The given system is kx – y – 2 = 0 ……(i) 6x – 2y – 3 = 0 ……(ii) Here, a1 = k, b1 = -1, c1 = -2, a2 = 6, b2 = -2 and c2 = -3 For the system, to have a unique solution, we must have

a1/a2 ≠ b1/b2

k/6 ≠ -1/-2 = 1/2

hence, k≠3 should be the solution for this question.