Question

Solve the following systems of equations:
10/(x + y) + 2/(x – y) = 4
15/(x + y) – 9/(x – y) = –2

Answer 1

Answer:

the value of v in this question is2/3

Answer 2

x = 21/8, y = 9/8

Step-by-step explanation:

Given linear equations are:

10/(x + y) + 2/(x – y) = 4

15/(x + y) – 9/(x – y) = –2

Let 1/x+y = u and 1/x-y = v, we get:

10u +2v = 4-------------(1)

15u -9v = -2-------------(2)

(1)*3 will be 30u + 6v = 12

(2)*2 will be 30u - 18v = -4

Subtracting, we get: 24v = 16

Therefore v = 2/3

Substituting in equation 2, we get 15u -6 = -2

u = 4/15

1/x+y = 4/15

So x+y = 15/4 -----------(3)

1/x-y = 2/3

So x-y = 3/2 -----------(4)

Adding 3 & 4, we get:

2x = 15/4 + 3/2

x = 21/8

Substituting in equation 3, we get 21/8 + y = 15/4

y = 15/4 - 21/8 = 9/8

Hence solved. x = 21/8, y = 9/8