From 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 `1/2`if we only add 1 to the denominator. What is the fraction?

Explanation

To solve the problem using the elimination method, we will first set up the equations based on the given conditions about the fraction.

### Step 1: Define the Variables
Let:
- \( x \) = numerator of the fraction
- \( y \) = denominator of the fraction

### Step 2: Formulate the Equations
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