Question

5/x+y-2/x-y=-1
15/x+y+7/x-y=10 where x is not = 0,y is not = 0​

Answer 1

Answer:

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Step-by-step explanation:

The given equations are

5/ x+y - 2/ x-y = -1 ……

(i) 15/ x+y - 7/x-y= 10 ……

(ii) Substituting 1/x+y = u and 1/x-y = v in (i) and (ii), we get 5u – 2v = -1 ……..

(iii) 15u + 7v = 10 …….

(iv) Multiplying

(iii) by 3 and subtracting it from (iv), we get 7v + 6v = 10 + 3 ⇒13v = 13 ⇒v = 1 ⇒x – y = 1 (∵ 1/ x-y = ) …..(v) Now, substituting v = 1 in

iii), we get 5u – 2 = -1 ⇒5u = 1 ⇒u = 1/ 5 x + y = 5 …….

(vi) Adding (v) and (vi), we get 2x = 6 ⇒ x = 3 Substituting x = 3 in

(vi), we have 3 + y = 5 ⇒ y = 5 – 3 = 2

Hence, x = 3 and y = 2.

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