What is the best method for solving the question of class 10th math of exercise 3.6. It is an important question of class 10th Solve the following pairs of equations by reducing them to a pair of linear equations: (iv) 5/(x-1) + 1/(y-2) = 2 6/(x-1) – 3/(y-2) = 1

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# Solve the following pairs of equations by reducing them to a pair of linear equations: (iv) 5/(x-1) + 1/(y-2) = 2 6/(x-1) – 3/(y-2) = 1 Q.1(4)

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Substituting 1/(x-1) = m and 1/(y-2) = n in the given equations, we get,

5m + n = 2 …………………………(i)

6m – 3n = 1 ……………………….(ii)

Multiplying equation (i) by 3, we get

15m + 3n = 6 …………………….(iii)

Adding (ii) and (iii) we get

21m = 7

m = 1/3

Putting this value in equation (i), we get

5×1/3 + n = 2

n = 2- 5/3 = 1/3

m = 1/ (x-1)

⇒ 1/3 = 1/(x-1)

⇒ x = 4

n = 1/(y-2)

⇒ 1/3 = 1/(y-2)

⇒ y = 5

Hence, x = 4 and y = 5