This is the basic and exam oriented question from linear equations in two variables in which we have given two equations 4x+ky+8=0, x+y+1=0 and we have been asked to find the value of k and also asked to solve the equations in such a way that it has a unique solution
RS Aggarwal, Class 10, chapter 3D, question no 7
4x−ky+8=0.....(1)
x+y+1=0....(2)
Here,
a1​=1, b1​=k, c1​=8
a2​=1, b2​=1, c2​=1
System has unique solution.
a1/a2≠b1/b2⇒4/1≠k/1​
k≠4