Question

solve for X and Y; 6/x+y = 7/x-y + 3; 1/3(X + Y) = 1/3( x-y) where x-y is not equal to zero

Answer 1

Answer:

x = - 2 / 3 and y = - 1 / 3

Step-by-step explanation:

Let 1 / x + y = m and 1 / x - y = n

6 m = 7 n + 3 ... ( i )

m / 3 = n / 3

m = n

6 m = 7 m + 3

m = - 3

1 / x + y = - 3

- 1 = 3 x + 3 y

3 x = - 3 y - 1 ... ( ii )

1 / x - y = - 3

3 x - 3 y = - 1

3 x = 3 y - 1 ... ( ii )

3 y - 1 = - 3 y - 1

6 y = - 2

y = - 1 / 3

3 x = 3 y - 1  ... ( ii )

Putting y = - 1 / 3

3 x = - 1 - 1

x = - 2 / 3 .