Solution of equations 11x - 7y = 29 and 7x - 11y = 25 is :

1. x = 2, y = 1

2. x = 2, y = -1

3. x = -2, y = 1

4. x = -2, y = -1

Given, equations : 11x - 7y = 29 and 7x - 11y = 25

⇒ 11x - 7y - 29 = 0 …….(1)

⇒ 7x - 11y - 25 = 0 …….(2)

By cross-multiplication method we have :

$\Rightarrow \dfrac{x}{(-7) \times (-25) - (-11) \times (-29)} = \dfrac{y}{(-29) \times 7 - (-25) \times 11} = \dfrac{1}{11 \times (-11) - 7 \times (-7)} \\[1em] \Rightarrow \dfrac{x}{175 - 319} = \dfrac{y}{-203 + 275} = \dfrac{1}{-121 + 49} \\[1em] \Rightarrow \dfrac{x}{-144} = \dfrac{y}{72} = \dfrac{1}{-72} \\[1em] \Rightarrow \dfrac{x}{-144} = \dfrac{1}{-72} \text{ and } \dfrac{y}{72} = \dfrac{1}{-72} \\[1em] \Rightarrow x = \dfrac{-144}{-72} \text{ and } y = \dfrac{72}{-72} \\[1em] \Rightarrow x = 2 \text{ and } y = -1.$

Hence, Option 2 is the correct option.