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
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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