PAROF LINEAR EQUATIONS IN TWO VARIABLES
(1) the lines may intersect in a single point. In this case, the pair of e
has a unique solution (consistent pair of equations).
(ii) the lines may be parallel. In this case, the equations have no
(
inconsistent pair of equations).
(b) the lines may be coincident. In this case, the equations have infinite
solutions (dependent (consistent) pair of equations].
Let us now go back to the pairs of linear equations formed in Examples
and note down what kind of pair they are geometrically .
(-2y = 0 and 3x + 4y - 20 = 0 (The lines intersect)
(i)2 + 3y - 9 = 0 and 4x + 6y - 18 = 0 (The lines coincide)
2 - 4 = 0 and 2x + 4y - 12 = 0 (The lines are parallel)
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