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