This is the basic and exam oriented question from linear equations in two variables in which we have given two equations x-ky=2, 3x+2y+5=0 and we have to find the value of k and also we have to solve the equations in such a way that it has a unique solution
RS Aggarwal, Class 10, Chapter 3D, question no 5
x+ky=2.....(1)
3x+2y+5=0....(2)
Here,
a1=1, b1=−k, c1=−2
a2=2, b2=2, c2=5
System has unique solution.
Now
a1/a2≠b1/b2
⇒1/3≠k/2
k≠2/3