Answer:

Required value of x is 1 / 2 and y is - 3 / 2 .

Step-by-step explanation:

Reducing the equation into pair of linear equations :

Reducing the equation into pair of linear equations :

Let 1 / x = a and 1 / y = b.

= > 4 / 3 = a + b { equation 1 }

= > 4 = 3a + 3b

= > 4 - 3b = 3a ... ( 3 )

= > - 10 / 3 = 2b - a { equation 2 }

= > - 10 = 6b - 3a

= > 3a = 6b + 10 ...( 4 )

Comparing ( 3 ) & ( 4 ) :

= > 4 - 3b = 6b + 10

= > 4 - 10 = 6b + 3b

= > - 6 = 9b

= > - 6 / 9 = b

= > - 2 / 3 = b { thus, y = 1 / ( - 2 / 3 ) = - 3 / 2 }

Thus,

= > 4 - 3b = 3a

= > 4 - 3( - 2 / 3 ) = 3a

= > 4 + 2 = 3a

= > 6 = 3a

= > 2 = a { thus, x = 1 / 2 }

Hence the required value of x is 1 / 2 and y is - 3 / 2 .