Question

If `2/x + 3/y = 6` and `1/x + 1/(2y) = 2` then

विकल्प

• `x = 1, y = 2/3`

• `x = 2/3, y = 1`

• `x = 1, y = 3/2`

• `x = 3/2, y = 1`

Answer 1

`bb(x = 2/3, y = 1)`

Explanation:

Put `a = 1/x` and `b = 1/y`. 

Then 2a + 3b = 6 and `a + (1/2)b = 2`. 

Multiply the second equation by 2:

2a + b = 4

Subtract from the first:

2b = 2

⇒ b = 1 

⇒ y = 1

Substitute back:

2a + 1 = 4 

⇒ `a = 3/2` 

⇒ `x = 2/3`