wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the value of k for which each of the following systems of equations have infinitely many solution:
2x+(k2)y=k
6x+(2k1)y=2k+5

Open in App
Solution

For the system to have infinitely many solutions, lines must coincide each other

ratio of respective coefficients must be equal (x, y and constant coefficients)

26=k22k1=k2k+5

Equate first two equations ;

2k1=3k6

k=5

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon