wiz-icon
MyQuestionIcon
MyQuestionIcon
4
You visited us 4 times! Enjoying our articles? Unlock Full Access!
Question

The number of integral solution to the system of equation a1+a2+a3+a4+a5=25 and a1+a2+a3=10 are

A
28+25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
210+25
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
225+210
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Infinite
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Infinite
We have, a1+a2+a3+a4+a5=25..........(1)
and a1+a2+a3=10 .........(2)
By, (2)(1)
a4+a5=15 ....(3)
Let a4=x,a5=y
x+y=15.......(4)
Here x and y are integers.
So number of integral solution will be infinite, since we have one equation and two unknowns

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