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Question 1 (iii)
Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions? In case there is a unique solution, find it by using cross multiplication method.
3x - 5y = 20 ; 6x - 10y =40

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Solution

3x - 5y = 20
6x - 10y = 40
a1a2=36=12
b1b2=510=12
c1c2=2040=12
a1a2=b1b2=c1c2
Therefore, the given sets of lines will be overlapping each other i.e., the lines will be coincident to each other.
Thus, there are infinite solutions possible for these equations.

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