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

The equation 2x+5y=7has a unique solution, if x,y are


A

Natural numbers

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

Positive real numbers

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

Real numbers

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

Rational numbers

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

Natural numbers


Consider, 2x+5y=7

A. (1,1) is a solution of 2x+5y=7

B. If positive real numbers are chosen, 2x+5y=7 will have many solutions.

C. If real numbers are chosen, 2x+5y=7 will have infinite solutions.

D. If rational numbers are chosen, 2x+5y=7 will have many solutions.

A linear equation in two variables has infinitely many solutions. For the linear equations system, there is a solution set of infinite points for which the L.H.S of an equation becomes R.H.S.

Therefore, for the unique solution of the given equation, the values will be a natural number.

Therefore, the correct option is A.


flag
Suggest Corrections
thumbs-up
17
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Framing a Linear Equation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon