Question

A fraction becomes 1/4 when 2 is subtracted from the numerator and 3 is added to the denominator .Represent this situation as a linear equation in two variable

Answer 1

let the fraction = x/y and y is not equal to zero
given

(x-2)/(y+3)=1/4
4(x-2)=y+3
4x-8=y+3

4x-y-8-3=0
4x-y-11=0
this is a linear equation in two variables x and y

Answer 2

Let he numerator be x and denominator be y
x-2 /y+3 =1/4
(x-2)×4 = y+3
4x - 8 = y+3
4x-y =3 +8
4x- y =11
4x-y-11=0