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:
x – 3y – 7 = 0
3x – 3y – 15 = 0
Given pair of linear equations
x – 3y – 7 = 0
3x – 3y – 15 = 0
⇒ x – y – 5 = 0 …(ii)
As we can see that a1 = 1, b1 = – 3 and c1 = – 7
and a2 = 1, b2 = – 1 and c2 = – 5
∴ Given pair of equations has unique solution
By cross - multiplication method, we have
On taking I and III ratio, we get
⇒ x = 4
On taking II and III ratio, we get
⇒ y = – 1
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