Solve the equations
32/x-y + 36/x+y. = 7
40/x-y. + 48/x+y. =9
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Let 1/(x + y) = a and 1/(x - y) = b therefore, 57a + 6b = 5 -------- (1) 38a + 21b= 9 -------- (2) Solving equations 1 and 2, we get A = 1/19 and b = 1/3 But 1/(x + y) = a and 1/(x - y) = b ⇒ (x + y) = 1/a = 19 ⇒ x + y=19 -------- (3) ⇒ x - y = 1/b =3 ⇒ x - y = 3 ----------(4) Solving equations 3 and 4, we get x = 11 and y = 8.
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