CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the values of a and b for which rach of the following systems of linear equations has an infinite number of equations:

2x+3y=7,2ax+(a+b)y=28.

Open in App
Solution

The above equations can be rewritten as:

2x+3y=7,2ax+(a+b)y=28.

We know that, for the given system of equations to have infinitely many solutions, a1a2 = b1b2 = c1c2 i.e.,

22a= 3a+b= 728

1a= 14 and 3a+b= 14

⇒ a = 4 and 34+b= 14

⇒ a = 4 and 12=4+b

⇒ a = 4 and b = 8 , are the required values for the given equations of line to have infinitely many solutions.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Graphical Solution
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon