Question

2/x+3/y=5;3/x-1/y+9=0

Answer 1

 

The given equations are:

3/x - 1/y + 9 = 0, 

⇒ 3/x - 1/y = -9 ……..(i) 

⇒ 2/x - 3/y = 5……..(ii) 

Putting 1/x = u and 1/y = v, we get: 

3u – v = -9 …….(iii) 

2u + 3v = 5 ……(iv) 

On multiplying (iii) by 3, we get: 

9u – 3v = -27 ……..(v) 

On adding (iv) and (v), we get: 

11u = -22 

⇒ u = -2 

⇒ 1/x = -2 

⇒ x = −1/2 

On substituting x = −1/2 in (i), we get:

3/-1/2-1/y=-9

-6-1/y=-9

1/y=(-6+9)=3

y=1/3

Hence, the required solution is x = −1/2 and y = 1/3 .

Answer 2

answer is X=-1/2
and Y=1/3