Q4 of 186 Page 4

Which of the following pair 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

Given pair of linear equations


3x – 5y = 20


6x – 10y = 40


⇒ 3x – 5y = 20 …(ii)


As we can see that a1 = 3, b1 = – 5 and c1 = – 20


and a2 = 3, b2 = – 5 and c2 = – 20




∴ Given pair of equations has infinitely many solutions.


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