One of the most important and conceptual question from linear equations in two variables in which we have given two equations 5x-7y-5=0, 2x+ky-1=0 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
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3D, question no 6
5x−7y−5=0.....(1)
2x+ky−1=0....(2)
Here,
a1=5, b1=−7, c1=5
a2=2, b2=k, c2=−1
System has unique solution.
a1/a2≠b1/b2⇒5/2≠−7/k
k≠−14/5