(1) Solve the following pairs of equations by reducing them to a pair of linear equations
(i) (1/2x) + (1/3y) = 2 and (1/3x) + (1/2y) = 13/6
(ii) (2/√x) + (3/√y) = 2 and (4/√x) – (9/√y) = -1
(iii) (4/x) + 3 y = 14 and (3/x) – 4 y = 23
(iv) 10/(x + y) + 2/(x –y) = 4 and
15/(x + y) – 5/(x – y) = -2 Solution
(v) 1/(3x + y) + 1/(3x – y) = 3/4 and
1/2(3x + y) - 1/2(3x – y) = -1/8 Solution
(vi) 5/(x – 1) + 1/(y – 2) = 2 and 6/(x – 1) – 3/(y – 2) = 1
(vii) (7 x - 2 y)/xy = 5 and (8 x + 7 y)/xy = 15
(viii) 6 x + 3 y = 6 xy and 2 x + 4 y = 5 xy
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