One of the most important and conceptual question from linear equations in two variables in which we have given two equations 2x+3y-5=0, kx-6y-8=0 and we have to solve the equations in such a way that it has a unique solution and also we have to find the value of k
Kindly solve the above equations
RS Aggarwal, Class 10, chapter 3D, question no 4
2x+2y−5=0.....(1)
kx−6y−8=0....(2)
a1​=2, b1​=3, c=​−5
a2​=k, b2​=−6, c2​=−8
a1/a2​=2/k​, ​b1​​/b2=3/−6​
Which shows
a1/a2≠b1/b2​​
System has a unique solution.
Now. Find the value of k:
2/k≠3/−6
k≠−4