On comparing the ratios and find out whether the following pair of linearequations are consistent, or inconsistent.

(i)


(ii)


(iii)


(iv)


(v)

(i) We get,

=


=


=


Hence,


=


Therefore , these linear equations will intersect at one point only and have only one possible solution.


And,


(ii) We get,


=


=


=


Hence,


=


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


And,


(iii)


9x – 10y = 14


We get,


=


=


=


Hence,


=


Therefore, these linear equations will intersect each other at one point and have only one possible solution.


And, pair of linear equations is consistent.


(iv) We get,


=


=


=


Hence,


=


Therefore these pair of lines have infinite number of solutions. and


v) We get,


=


=


=


Hence,


=


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


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