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.