Question 186686
1/x+2/y=-1
2/x-1/y=-7

Substitutig  a = 1/x and b =1/y we get

a + 2b = - 1			Eq(1)
2a – b = - 7			Eq(2) . 

Multiply Eq(1) by 2 and subtract from Eq.(2) we get

2a – b = - 7				Eq(2) . 
2a + 4b = - 2			Multiplied Eq(1)  by  2 

	- 5b = - 5			subtractig the above eqs
	 b = (- 5/- 5) = 1
Pluging in the value of  b in Eq(1) we have

a + 2(1) = -1 ;  a = - 1 – (2) = - 3; so x =1/a = 1/(-3)  = - 1/3 and y = 1/b = 1/1 =1
Hence the solution is a = - 1/3 and b = 1