Q2. Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes if we only add 1 to the denominator. What is the fraction?
Let the numerator of the fraction be x and denominator is y,
Now, According to the question,
Also,
Now, Subtracting (1) from (2) we get
Putting this value in (1)
Hence
And the fraction is
.