Q. 4 B

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:

2x + y = 5

3x + 2y = 8

Answer :

Given pair of linear equations


2x + y = 5


3x + 2y = 8


As we can see that a1 = 2, b1 = 1 and c1 = – 5


and a2 = 3, b2 = 2 and c2 = – 8




Given pair of equations has unique solution


By cross - multiplication method, we have





On taking I and III ratio, we get



x = 2


On taking II and III ratio, we get



y = 1


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