Question

Using
substitution method
5/x+y-2x-y=-1
15/x+y+7/x-y=10​

Answer 1

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.

Answer 2

Step-by-step explanation:

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