# Which of the foll

(i) We get,

=

=

=

Hence,

=

Therefore these pair of lines have infinite number of solutions and pair of linear equations is consistent.

x + y = 5

x = 5 - y

putting y = 1,2,3 we get,

x = 5 -1 = 4

x = 5 - 2 = 3

x = 5 - 3 = 2

And, 2x + 2y = 10

x =

(ii) We get,

=

=

Hence,

Therefore, these linear equations are parallel to each other and have no possible solution,

Hence, the pair of linear equations is inconsistent.

(iii) We get,

=

=

=

Hence,

=

Therefore, these linear equations are intersecting each other at one point and thus have only one possible solution.

Hence, pair of linear equations is consistent.

=

=

And,

=

Graphical representation

(iv) We get,

=

=

= s

Hence,

=

Therefore, these linear equations are parallel to each other and have no possible solution,

Hence, the pair of linear equations is inconsistent.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Introduction to Linear Equations in Two Variables62 mins
Revision on Substitution and Elimination Method44 mins
Revision on Word Problems - 235 mins
Revision on Word Problems - 150 mins
Pair of Linear Equations-Yahaan se laye marks57 mins
Steps in Reproduction43 mins
Resistors in Series33 mins
Resistors in Parallel36 mins
Magnetic Field of Circular Conductor41 mins
Electric Motor37 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses