Q. 44.1( 179 Votes )

# Which of the foll

Answer :

(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.

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