When we add 1 to the numerator of a fraction and simplify it we get 2/

1.	When we add 1 to the numerator of a fraction and simplify it we get 2/3.when add 1 to the denominator and simplify it we get 1/2.which is the fraction?
Answer» let the fraction = x/ y given , ====> (x + 1) y = 2 / 3 ====> 3x + 3 = 2y ====> 3x - 2y = -3 -------------(1) ====> x / (1+ y ) = 1/2 ====> 2X = 1 + y ====> 2 x - y = 1 --------------(2) 3x - 2y = -3 -------------(1) 2x - y = 1 --------------(2) ----–-------------------------------------------- making y VARIABLE EQUAL (2)×2 => 4x - 2y = 2 ---------------(3) 3x - 2y = -3 -------------(1) 4x - 2y = 2 --------------(3) ----–-------------------------------------------- (1) + (3) => 7x = 1 x = 1 / 7 substituting the value of x in (2) ===> 2 ( 1/7) - y = 1 ===> 2/ 7 - 1 = y y = -5 / 7 Value of x = 1/7 value of y = -5/7

When we add 1 to the numerator of a fraction and simplify it we get 2/3.when add 1 to the denominator and simplify it we get 1/2.which is the fraction?

Answer»

let the fraction = x/ y

given ,

====> (x + 1) y = 2 / 3

====> 3x + 3 = 2y

====> 3x - 2y = -3 -------------(1)

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

====> 2X = 1 + y

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

3x - 2y = -3 -------------(1)

2x - y = 1 --------------(2)

----–--------------------------------------------

(2)×2 => 4x - 2y = 2 ---------------(3)

3x - 2y = -3 -------------(1)

4x - 2y = 2 --------------(3)

----–--------------------------------------------

(1) + (3) => 7x = 1

x = 1 / 7

substituting the value of x in (2)

===> 2 ( 1/7) - y = 1

===> 2/ 7 - 1 = y

y = -5 / 7