One of the most important and exam oriented question from linear equations in two variables in which we have given two equations kx+3y=k-3, 12x+ky=k and we have to find the value of k and also asked to solve the equations in such a way that it has a unique solution
Book-RS Aggarwal, Class 10, chapter 3D, question no 9
Here,
a1=k, b1=3, c1=k−3
a2=12, b2=k, c2=k
a1/a2≠b1/b2⇒k/12≠3/k
System has unique solution.
k²≠36
⇒k≠√±36
k≠±6
k is not equal to 6 or −6.