Question

|
- +2 = 0,
-1=0
-
10
|
之
​

Answer 1

Answer:

Required value of x is 1 / 6 and y is 1 / 10.

Step-by-step explanation:

Let the algebraic value of 1 / x be a and 1 / y be b.

Given,

= > 1 / ( 2x ) - 1 / ( 2y ) + 2 = 0

=  > a / 2 - b / 2 + 2 = 0

= > ( a - b ) / 2 + 2 = 0

= > ( a - b ) / 2 = - 2

= > a - b = - 2 x 2

= > a - b = - 4

= > a = b - 4              ...( i )

Also, given,

= > 1 / x - 1 / ( 2y ) - 1 = 0

= > a - b / 2 - 1 = 0

= > ( 2a - b ) / 2 - 1 = 0

= > ( 2a - b ) / 2 = 1

= > 2a - b = 2

= > 2a = 2 + b

Substituting the value of a from ( i ),

= > 2( b - 4 ) = 2 + b

= > 2b - 8 = 2 + b

= > 2b - b = 2 + 8

= > b = 10

Substituting the value of b in ( i ),

= > a = b - 4

= > a = 10 - 4

= > a = 6

Therefore,

Required value of x = 1 / a = 1 / 6     [ since 1 / x = a ]

Required value of y = 1 / b = 1 / 10   [ since 1 / y = b ]

Therefore, the required value of x is 1 / 6 and y is 1 / 10.