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